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Finding the Fourth Proportional to 975.14, 1,462.68 and 487.83

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Solution

The fourth proportional to 975.14, 1,462.68 and 487.83 is: 731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.14 : 1,462.68 = 487.83 : x
  2. Step 2: Convert to fraction form
    975.14/1,462.68 = 487.83/x
  3. Step 3: Cross multiply
    975.14x = 1,462.68 × 487.83
  4. Step 4: Simplify right side
    975.14x = 713,539.18
  5. Step 5: Solve for x
    x = 713,539.18/975.14
  6. Step 6: Final answer
    x = 731.73

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Half scale
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Double scale
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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.