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Finding the Fourth Proportional to 540.16, 808.08 and 473.92

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Solution

The fourth proportional to 540.16, 808.08 and 473.92 is: 708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 808.08 = 473.92 : x
  2. Step 2: Convert to fraction form
    540.16/808.08 = 473.92/x
  3. Step 3: Cross multiply
    540.16x = 808.08 × 473.92
  4. Step 4: Simplify right side
    540.16x = 382,965.27
  5. Step 5: Solve for x
    x = 382,965.27/540.16
  6. Step 6: Final answer
    x = 708.98

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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.