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Finding the Fourth Proportional to 56.59, 85.31 and 52.87

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Solution

The fourth proportional to 56.59, 85.31 and 52.87 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.59 : 85.31 = 52.87 : x
  2. Step 2: Convert to fraction form
    56.59/85.31 = 52.87/x
  3. Step 3: Cross multiply
    56.59x = 85.31 × 52.87
  4. Step 4: Simplify right side
    56.59x = 4,510.34
  5. Step 5: Solve for x
    x = 4,510.34/56.59
  6. Step 6: Final answer
    x = 79.70

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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.