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Finding the Fourth Proportional to 1,065.58, 1,597.05 and 545.15

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Solution

The fourth proportional to 1,065.58, 1,597.05 and 545.15 is: 817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.58 : 1,597.05 = 545.15 : x
  2. Step 2: Convert to fraction form
    1,065.58/1,597.05 = 545.15/x
  3. Step 3: Cross multiply
    1,065.58x = 1,597.05 × 545.15
  4. Step 4: Simplify right side
    1,065.58x = 870,635.80
  5. Step 5: Solve for x
    x = 870,635.80/1,065.58
  6. Step 6: Final answer
    x = 817.06

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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.