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Finding the Fourth Proportional to 1,564.38, 2,345.96 and 783.74

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Solution

The fourth proportional to 1,564.38, 2,345.96 and 783.74 is: 1,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.38 : 2,345.96 = 783.74 : x
  2. Step 2: Convert to fraction form
    1,564.38/2,345.96 = 783.74/x
  3. Step 3: Cross multiply
    1,564.38x = 2,345.96 × 783.74
  4. Step 4: Simplify right side
    1,564.38x = 1,838,630.51
  5. Step 5: Solve for x
    x = 1,838,630.51/1,564.38
  6. Step 6: Final answer
    x = 1,175.31

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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.