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Finding the Fourth Proportional to 598.12, 892.57 and 511.40

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Solution

The fourth proportional to 598.12, 892.57 and 511.40 is: 763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.12 : 892.57 = 511.40 : x
  2. Step 2: Convert to fraction form
    598.12/892.57 = 511.40/x
  3. Step 3: Cross multiply
    598.12x = 892.57 × 511.40
  4. Step 4: Simplify right side
    598.12x = 456,460.30
  5. Step 5: Solve for x
    x = 456,460.30/598.12
  6. Step 6: Final answer
    x = 763.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.