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Finding the Fourth Proportional to 585.45, 807.39 and 525.60

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Solution

The fourth proportional to 585.45, 807.39 and 525.60 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 807.39 = 525.60 : x
  2. Step 2: Convert to fraction form
    585.45/807.39 = 525.60/x
  3. Step 3: Cross multiply
    585.45x = 807.39 × 525.60
  4. Step 4: Simplify right side
    585.45x = 424,364.18
  5. Step 5: Solve for x
    x = 424,364.18/585.45
  6. Step 6: Final answer
    x = 724.85

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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.