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Finding the Fourth Proportional to 1,565.38, 2,345.17 and 784.47

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Solution

The fourth proportional to 1,565.38, 2,345.17 and 784.47 is: 1,175.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.38 : 2,345.17 = 784.47 : x
  2. Step 2: Convert to fraction form
    1,565.38/2,345.17 = 784.47/x
  3. Step 3: Cross multiply
    1,565.38x = 2,345.17 × 784.47
  4. Step 4: Simplify right side
    1,565.38x = 1,839,715.51
  5. Step 5: Solve for x
    x = 1,839,715.51/1,565.38
  6. Step 6: Final answer
    x = 1,175.25

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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.