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Finding the Fourth Proportional to 580.02, 800.16 and 346.74

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Solution

The fourth proportional to 580.02, 800.16 and 346.74 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.02 : 800.16 = 346.74 : x
  2. Step 2: Convert to fraction form
    580.02/800.16 = 346.74/x
  3. Step 3: Cross multiply
    580.02x = 800.16 × 346.74
  4. Step 4: Simplify right side
    580.02x = 277,447.48
  5. Step 5: Solve for x
    x = 277,447.48/580.02
  6. Step 6: Final answer
    x = 478.34

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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.