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Finding the Fourth Proportional to 510.60, 761.69 and 467.08

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Solution

The fourth proportional to 510.60, 761.69 and 467.08 is: 696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 761.69 = 467.08 : x
  2. Step 2: Convert to fraction form
    510.60/761.69 = 467.08/x
  3. Step 3: Cross multiply
    510.60x = 761.69 × 467.08
  4. Step 4: Simplify right side
    510.60x = 355,770.17
  5. Step 5: Solve for x
    x = 355,770.17/510.60
  6. Step 6: Final answer
    x = 696.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.