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Finding the Fourth Proportional to 1,223.64, 1,689.30 and 929.70

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Solution

The fourth proportional to 1,223.64, 1,689.30 and 929.70 is: 1,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.64 : 1,689.30 = 929.70 : x
  2. Step 2: Convert to fraction form
    1,223.64/1,689.30 = 929.70/x
  3. Step 3: Cross multiply
    1,223.64x = 1,689.30 × 929.70
  4. Step 4: Simplify right side
    1,223.64x = 1,570,542.21
  5. Step 5: Solve for x
    x = 1,570,542.21/1,223.64
  6. Step 6: Final answer
    x = 1,283.50

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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.