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Finding the Fourth Proportional to 1,044.59, 1,567.50 and 386.93

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Solution

The fourth proportional to 1,044.59, 1,567.50 and 386.93 is: 580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.59 : 1,567.50 = 386.93 : x
  2. Step 2: Convert to fraction form
    1,044.59/1,567.50 = 386.93/x
  3. Step 3: Cross multiply
    1,044.59x = 1,567.50 × 386.93
  4. Step 4: Simplify right side
    1,044.59x = 606,512.78
  5. Step 5: Solve for x
    x = 606,512.78/1,044.59
  6. Step 6: Final answer
    x = 580.62

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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.