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Finding the Fourth Proportional to 473.13, 710.17 and 355.60

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Solution

The fourth proportional to 473.13, 710.17 and 355.60 is: 533.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.13 : 710.17 = 355.60 : x
  2. Step 2: Convert to fraction form
    473.13/710.17 = 355.60/x
  3. Step 3: Cross multiply
    473.13x = 710.17 × 355.60
  4. Step 4: Simplify right side
    473.13x = 252,532.46
  5. Step 5: Solve for x
    x = 252,532.46/473.13
  6. Step 6: Final answer
    x = 533.75

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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.