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Finding the Fourth Proportional to 816.57, 1,225.58 and 560.25

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Solution

The fourth proportional to 816.57, 1,225.58 and 560.25 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,225.58 = 560.25 : x
  2. Step 2: Convert to fraction form
    816.57/1,225.58 = 560.25/x
  3. Step 3: Cross multiply
    816.57x = 1,225.58 × 560.25
  4. Step 4: Simplify right side
    816.57x = 686,628.39
  5. Step 5: Solve for x
    x = 686,628.39/816.57
  6. Step 6: Final answer
    x = 840.87

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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.