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Finding the Fourth Proportional to 535.92, 807.06 and 471.72

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Solution

The fourth proportional to 535.92, 807.06 and 471.72 is: 710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.92 : 807.06 = 471.72 : x
  2. Step 2: Convert to fraction form
    535.92/807.06 = 471.72/x
  3. Step 3: Cross multiply
    535.92x = 807.06 × 471.72
  4. Step 4: Simplify right side
    535.92x = 380,706.34
  5. Step 5: Solve for x
    x = 380,706.34/535.92
  6. Step 6: Final answer
    x = 710.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.