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Finding the Fourth Proportional to 913.60, 1,259.76 and 581.50

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Solution

The fourth proportional to 913.60, 1,259.76 and 581.50 is: 801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.60 : 1,259.76 = 581.50 : x
  2. Step 2: Convert to fraction form
    913.60/1,259.76 = 581.50/x
  3. Step 3: Cross multiply
    913.60x = 1,259.76 × 581.50
  4. Step 4: Simplify right side
    913.60x = 732,550.44
  5. Step 5: Solve for x
    x = 732,550.44/913.60
  6. Step 6: Final answer
    x = 801.83

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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.