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Finding the Fourth Proportional to 676.65, 935.15 and 510.81

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Solution

The fourth proportional to 676.65, 935.15 and 510.81 is: 705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.65 : 935.15 = 510.81 : x
  2. Step 2: Convert to fraction form
    676.65/935.15 = 510.81/x
  3. Step 3: Cross multiply
    676.65x = 935.15 × 510.81
  4. Step 4: Simplify right side
    676.65x = 477,677.91
  5. Step 5: Solve for x
    x = 477,677.91/676.65
  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.