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Finding the Fourth Proportional to 580.62, 801.02 and 370.74

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Solution

The fourth proportional to 580.62, 801.02 and 370.74 is: 511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.62 : 801.02 = 370.74 : x
  2. Step 2: Convert to fraction form
    580.62/801.02 = 370.74/x
  3. Step 3: Cross multiply
    580.62x = 801.02 × 370.74
  4. Step 4: Simplify right side
    580.62x = 296,970.15
  5. Step 5: Solve for x
    x = 296,970.15/580.62
  6. Step 6: Final answer
    x = 511.47

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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.