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Finding the Fourth Proportional to 510.96, 710.10 and 505.68

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Solution

The fourth proportional to 510.96, 710.10 and 505.68 is: 702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.96 : 710.10 = 505.68 : x
  2. Step 2: Convert to fraction form
    510.96/710.10 = 505.68/x
  3. Step 3: Cross multiply
    510.96x = 710.10 × 505.68
  4. Step 4: Simplify right side
    510.96x = 359,083.37
  5. Step 5: Solve for x
    x = 359,083.37/510.96
  6. Step 6: Final answer
    x = 702.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.