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Finding the Fourth Proportional to 501.54, 695.33 and 473.90

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Solution

The fourth proportional to 501.54, 695.33 and 473.90 is: 657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 695.33 = 473.90 : x
  2. Step 2: Convert to fraction form
    501.54/695.33 = 473.90/x
  3. Step 3: Cross multiply
    501.54x = 695.33 × 473.90
  4. Step 4: Simplify right side
    501.54x = 329,517.20
  5. Step 5: Solve for x
    x = 329,517.20/501.54
  6. Step 6: Final answer
    x = 657.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.