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Finding the Fourth Proportional to 510.48, 769.90 and 505.04

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Solution

The fourth proportional to 510.48, 769.90 and 505.04 is: 761.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.48 : 769.90 = 505.04 : x
  2. Step 2: Convert to fraction form
    510.48/769.90 = 505.04/x
  3. Step 3: Cross multiply
    510.48x = 769.90 × 505.04
  4. Step 4: Simplify right side
    510.48x = 388,830.30
  5. Step 5: Solve for x
    x = 388,830.30/510.48
  6. Step 6: Final answer
    x = 761.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.