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Finding the Fourth Proportional to 1,565.07, 2,159.80 and 901.96

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Solution

The fourth proportional to 1,565.07, 2,159.80 and 901.96 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.07 : 2,159.80 = 901.96 : x
  2. Step 2: Convert to fraction form
    1,565.07/2,159.80 = 901.96/x
  3. Step 3: Cross multiply
    1,565.07x = 2,159.80 × 901.96
  4. Step 4: Simplify right side
    1,565.07x = 1,948,053.21
  5. Step 5: Solve for x
    x = 1,948,053.21/1,565.07
  6. Step 6: Final answer
    x = 1,244.71

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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.