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Finding the Fourth Proportional to 1,658.32, 2,290.32 and 1,289.76

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Solution

The fourth proportional to 1,658.32, 2,290.32 and 1,289.76 is: 1,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.32 : 2,290.32 = 1,289.76 : x
  2. Step 2: Convert to fraction form
    1,658.32/2,290.32 = 1,289.76/x
  3. Step 3: Cross multiply
    1,658.32x = 2,290.32 × 1,289.76
  4. Step 4: Simplify right side
    1,658.32x = 2,953,963.12
  5. Step 5: Solve for x
    x = 2,953,963.12/1,658.32
  6. Step 6: Final answer
    x = 1,781.30

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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.