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Finding the Fourth Proportional to 1,030.98, 1,545.53 and 445.62

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Solution

The fourth proportional to 1,030.98, 1,545.53 and 445.62 is: 668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.98 : 1,545.53 = 445.62 : x
  2. Step 2: Convert to fraction form
    1,030.98/1,545.53 = 445.62/x
  3. Step 3: Cross multiply
    1,030.98x = 1,545.53 × 445.62
  4. Step 4: Simplify right side
    1,030.98x = 688,711.35
  5. Step 5: Solve for x
    x = 688,711.35/1,030.98
  6. Step 6: Final answer
    x = 668.02

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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.