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Finding the Fourth Proportional to 913.83, 1,261.19 and 560.00

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Solution

The fourth proportional to 913.83, 1,261.19 and 560.00 is: 772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.83 : 1,261.19 = 560.00 : x
  2. Step 2: Convert to fraction form
    913.83/1,261.19 = 560.00/x
  3. Step 3: Cross multiply
    913.83x = 1,261.19 × 560.00
  4. Step 4: Simplify right side
    913.83x = 706,257.29
  5. Step 5: Solve for x
    x = 706,257.29/913.83
  6. Step 6: Final answer
    x = 772.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.