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Finding the Fourth Proportional to 676.95, 935.45 and 510.86

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Solution

The fourth proportional to 676.95, 935.45 and 510.86 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.95 : 935.45 = 510.86 : x
  2. Step 2: Convert to fraction form
    676.95/935.45 = 510.86/x
  3. Step 3: Cross multiply
    676.95x = 935.45 × 510.86
  4. Step 4: Simplify right side
    676.95x = 477,885.69
  5. Step 5: Solve for x
    x = 477,885.69/676.95
  6. Step 6: Final answer
    x = 705.94

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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.