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Finding the Fourth Proportional to 1,064.71, 1,468.02 and 784.90

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Solution

The fourth proportional to 1,064.71, 1,468.02 and 784.90 is: 1,082.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.71 : 1,468.02 = 784.90 : x
  2. Step 2: Convert to fraction form
    1,064.71/1,468.02 = 784.90/x
  3. Step 3: Cross multiply
    1,064.71x = 1,468.02 × 784.90
  4. Step 4: Simplify right side
    1,064.71x = 1,152,248.90
  5. Step 5: Solve for x
    x = 1,152,248.90/1,064.71
  6. Step 6: Final answer
    x = 1,082.22

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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.