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Finding the Fourth Proportional to 598.54, 901.88 and 492.70

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Solution

The fourth proportional to 598.54, 901.88 and 492.70 is: 742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.54 : 901.88 = 492.70 : x
  2. Step 2: Convert to fraction form
    598.54/901.88 = 492.70/x
  3. Step 3: Cross multiply
    598.54x = 901.88 × 492.70
  4. Step 4: Simplify right side
    598.54x = 444,356.28
  5. Step 5: Solve for x
    x = 444,356.28/598.54
  6. Step 6: Final answer
    x = 742.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.