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Finding the Fourth Proportional to 1,689.15, 2,532.71 and 578.16

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Solution

The fourth proportional to 1,689.15, 2,532.71 and 578.16 is: 866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.15 : 2,532.71 = 578.16 : x
  2. Step 2: Convert to fraction form
    1,689.15/2,532.71 = 578.16/x
  3. Step 3: Cross multiply
    1,689.15x = 2,532.71 × 578.16
  4. Step 4: Simplify right side
    1,689.15x = 1,464,311.61
  5. Step 5: Solve for x
    x = 1,464,311.61/1,689.15
  6. Step 6: Final answer
    x = 866.89

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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.