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Finding the Fourth Proportional to 1,064.71, 1,468.92 and 645.19

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Solution

The fourth proportional to 1,064.71, 1,468.92 and 645.19 is: 890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.71 : 1,468.92 = 645.19 : x
  2. Step 2: Convert to fraction form
    1,064.71/1,468.92 = 645.19/x
  3. Step 3: Cross multiply
    1,064.71x = 1,468.92 × 645.19
  4. Step 4: Simplify right side
    1,064.71x = 947,732.49
  5. Step 5: Solve for x
    x = 947,732.49/1,064.71
  6. Step 6: Final answer
    x = 890.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.