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Finding the Fourth Proportional to 1,031.70, 1,545.53 and 619.62

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Solution

The fourth proportional to 1,031.70, 1,545.53 and 619.62 is: 928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.70 : 1,545.53 = 619.62 : x
  2. Step 2: Convert to fraction form
    1,031.70/1,545.53 = 619.62/x
  3. Step 3: Cross multiply
    1,031.70x = 1,545.53 × 619.62
  4. Step 4: Simplify right side
    1,031.70x = 957,638.20
  5. Step 5: Solve for x
    x = 957,638.20/1,031.70
  6. Step 6: Final answer
    x = 928.21

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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.