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Finding the Fourth Proportional to 501.53, 751.68 and 471.15

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Solution

The fourth proportional to 501.53, 751.68 and 471.15 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.53 : 751.68 = 471.15 : x
  2. Step 2: Convert to fraction form
    501.53/751.68 = 471.15/x
  3. Step 3: Cross multiply
    501.53x = 751.68 × 471.15
  4. Step 4: Simplify right side
    501.53x = 354,154.03
  5. Step 5: Solve for x
    x = 354,154.03/501.53
  6. Step 6: Final answer
    x = 706.15

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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.