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Finding the Fourth Proportional to 580.46, 802.02 and 548.60

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Solution

The fourth proportional to 580.46, 802.02 and 548.60 is: 758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.46 : 802.02 = 548.60 : x
  2. Step 2: Convert to fraction form
    580.46/802.02 = 548.60/x
  3. Step 3: Cross multiply
    580.46x = 802.02 × 548.60
  4. Step 4: Simplify right side
    580.46x = 439,988.17
  5. Step 5: Solve for x
    x = 439,988.17/580.46
  6. Step 6: Final answer
    x = 758.00

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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.