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Finding the Fourth Proportional to 676.16, 934.20 and 510.92

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Solution

The fourth proportional to 676.16, 934.20 and 510.92 is: 705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.16 : 934.20 = 510.92 : x
  2. Step 2: Convert to fraction form
    676.16/934.20 = 510.92/x
  3. Step 3: Cross multiply
    676.16x = 934.20 × 510.92
  4. Step 4: Simplify right side
    676.16x = 477,301.46
  5. Step 5: Solve for x
    x = 477,301.46/676.16
  6. Step 6: Final answer
    x = 705.90

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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.