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Finding the Fourth Proportional to 1,564.34, 2,345.41 and 783.79

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Solution

The fourth proportional to 1,564.34, 2,345.41 and 783.79 is: 1,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.34 : 2,345.41 = 783.79 : x
  2. Step 2: Convert to fraction form
    1,564.34/2,345.41 = 783.79/x
  3. Step 3: Cross multiply
    1,564.34x = 2,345.41 × 783.79
  4. Step 4: Simplify right side
    1,564.34x = 1,838,301.08
  5. Step 5: Solve for x
    x = 1,838,301.08/1,564.34
  6. Step 6: Final answer
    x = 1,175.13

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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.