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Finding the Fourth Proportional to 1,059.71, 1,587.40 and 545.63

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Solution

The fourth proportional to 1,059.71, 1,587.40 and 545.63 is: 817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.71 : 1,587.40 = 545.63 : x
  2. Step 2: Convert to fraction form
    1,059.71/1,587.40 = 545.63/x
  3. Step 3: Cross multiply
    1,059.71x = 1,587.40 × 545.63
  4. Step 4: Simplify right side
    1,059.71x = 866,123.76
  5. Step 5: Solve for x
    x = 866,123.76/1,059.71
  6. Step 6: Final answer
    x = 817.33

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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.