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Finding the Fourth Proportional to 2,291.38, 3,437.08 and 560

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Solution

The fourth proportional to 2,291.38, 3,437.08 and 560 is: 840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.38 : 3,437.08 = 560 : x
  2. Step 2: Convert to fraction form
    2,291.38/3,437.08 = 560/x
  3. Step 3: Cross multiply
    2,291.38x = 3,437.08 × 560
  4. Step 4: Simplify right side
    2,291.38x = 1,924,764.80
  5. Step 5: Solve for x
    x = 1,924,764.80/2,291.38
  6. Step 6: Final answer
    x = 840.00

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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.