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Finding the Fourth Proportional to 580.80, 802.40 and 534.72

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Solution

The fourth proportional to 580.80, 802.40 and 534.72 is: 738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.80 : 802.40 = 534.72 : x
  2. Step 2: Convert to fraction form
    580.80/802.40 = 534.72/x
  3. Step 3: Cross multiply
    580.80x = 802.40 × 534.72
  4. Step 4: Simplify right side
    580.80x = 429,059.33
  5. Step 5: Solve for x
    x = 429,059.33/580.80
  6. Step 6: Final answer
    x = 738.74

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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.