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Finding the Fourth Proportional to 1,061.66, 1,464.50 and 619.29

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Solution

The fourth proportional to 1,061.66, 1,464.50 and 619.29 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.66 : 1,464.50 = 619.29 : x
  2. Step 2: Convert to fraction form
    1,061.66/1,464.50 = 619.29/x
  3. Step 3: Cross multiply
    1,061.66x = 1,464.50 × 619.29
  4. Step 4: Simplify right side
    1,061.66x = 906,951.75
  5. Step 5: Solve for x
    x = 906,951.75/1,061.66
  6. Step 6: Final answer
    x = 854.28

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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.