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Finding the Fourth Proportional to 477.23, 710.54 and 474.53

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Solution

The fourth proportional to 477.23, 710.54 and 474.53 is: 706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 710.54 = 474.53 : x
  2. Step 2: Convert to fraction form
    477.23/710.54 = 474.53/x
  3. Step 3: Cross multiply
    477.23x = 710.54 × 474.53
  4. Step 4: Simplify right side
    477.23x = 337,168.40
  5. Step 5: Solve for x
    x = 337,168.40/477.23
  6. Step 6: Final answer
    x = 706.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.