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Finding the Fourth Proportional to 557.96, 840.31 and 471.89

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Solution

The fourth proportional to 557.96, 840.31 and 471.89 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.96 : 840.31 = 471.89 : x
  2. Step 2: Convert to fraction form
    557.96/840.31 = 471.89/x
  3. Step 3: Cross multiply
    557.96x = 840.31 × 471.89
  4. Step 4: Simplify right side
    557.96x = 396,534.81
  5. Step 5: Solve for x
    x = 396,534.81/557.96
  6. Step 6: Final answer
    x = 710.69

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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.