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Finding the Fourth Proportional to 1,046.64, 1,567.51 and 614.10

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Solution

The fourth proportional to 1,046.64, 1,567.51 and 614.10 is: 919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.64 : 1,567.51 = 614.10 : x
  2. Step 2: Convert to fraction form
    1,046.64/1,567.51 = 614.10/x
  3. Step 3: Cross multiply
    1,046.64x = 1,567.51 × 614.10
  4. Step 4: Simplify right side
    1,046.64x = 962,607.89
  5. Step 5: Solve for x
    x = 962,607.89/1,046.64
  6. Step 6: Final answer
    x = 919.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.