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Finding the Fourth Proportional to 1,702.97, 2,350.10 and 956.93

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Solution

The fourth proportional to 1,702.97, 2,350.10 and 956.93 is: 1,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.97 : 2,350.10 = 956.93 : x
  2. Step 2: Convert to fraction form
    1,702.97/2,350.10 = 956.93/x
  3. Step 3: Cross multiply
    1,702.97x = 2,350.10 × 956.93
  4. Step 4: Simplify right side
    1,702.97x = 2,248,875.32
  5. Step 5: Solve for x
    x = 2,248,875.32/1,702.97
  6. Step 6: Final answer
    x = 1,320.56

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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.