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Finding the Fourth Proportional to 510.30, 759.68 and 507.26

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Solution

The fourth proportional to 510.30, 759.68 and 507.26 is: 755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.30 : 759.68 = 507.26 : x
  2. Step 2: Convert to fraction form
    510.30/759.68 = 507.26/x
  3. Step 3: Cross multiply
    510.30x = 759.68 × 507.26
  4. Step 4: Simplify right side
    510.30x = 385,356.54
  5. Step 5: Solve for x
    x = 385,356.54/510.30
  6. Step 6: Final answer
    x = 755.16

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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.