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Finding the Fourth Proportional to 580.74, 799.65 and 534.30

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Solution

The fourth proportional to 580.74, 799.65 and 534.30 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.74 : 799.65 = 534.30 : x
  2. Step 2: Convert to fraction form
    580.74/799.65 = 534.30/x
  3. Step 3: Cross multiply
    580.74x = 799.65 × 534.30
  4. Step 4: Simplify right side
    580.74x = 427,253.00
  5. Step 5: Solve for x
    x = 427,253.00/580.74
  6. Step 6: Final answer
    x = 735.70

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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.