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Finding the Fourth Proportional to 1,011.49, 1,514.50 and 645.17

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Solution

The fourth proportional to 1,011.49, 1,514.50 and 645.17 is: 966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.49 : 1,514.50 = 645.17 : x
  2. Step 2: Convert to fraction form
    1,011.49/1,514.50 = 645.17/x
  3. Step 3: Cross multiply
    1,011.49x = 1,514.50 × 645.17
  4. Step 4: Simplify right side
    1,011.49x = 977,100.78
  5. Step 5: Solve for x
    x = 977,100.78/1,011.49
  6. Step 6: Final answer
    x = 966.00

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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.