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Finding the Fourth Proportional to 975.04, 1,462.02 and 487.84

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Solution

The fourth proportional to 975.04, 1,462.02 and 487.84 is: 731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.04 : 1,462.02 = 487.84 : x
  2. Step 2: Convert to fraction form
    975.04/1,462.02 = 487.84/x
  3. Step 3: Cross multiply
    975.04x = 1,462.02 × 487.84
  4. Step 4: Simplify right side
    975.04x = 713,231.84
  5. Step 5: Solve for x
    x = 713,231.84/975.04
  6. Step 6: Final answer
    x = 731.49

Related Problems

Find fourth proportional to 487.52, 731.01 and 243.92
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.