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Finding the Fourth Proportional to 975.03, 1,461.84 and 487.72

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Solution

The fourth proportional to 975.03, 1,461.84 and 487.72 is: 731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,461.84 = 487.72 : x
  2. Step 2: Convert to fraction form
    975.03/1,461.84 = 487.72/x
  3. Step 3: Cross multiply
    975.03x = 1,461.84 × 487.72
  4. Step 4: Simplify right side
    975.03x = 712,968.60
  5. Step 5: Solve for x
    x = 712,968.60/975.03
  6. Step 6: Final answer
    x = 731.23

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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.