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Finding the Fourth Proportional to 510.10, 698.76 and 508.66

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Solution

The fourth proportional to 510.10, 698.76 and 508.66 is: 696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.10 : 698.76 = 508.66 : x
  2. Step 2: Convert to fraction form
    510.10/698.76 = 508.66/x
  3. Step 3: Cross multiply
    510.10x = 698.76 × 508.66
  4. Step 4: Simplify right side
    510.10x = 355,431.26
  5. Step 5: Solve for x
    x = 355,431.26/510.10
  6. Step 6: Final answer
    x = 696.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.