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Finding the Fourth Proportional to 510.42, 762.54 and 507.72

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Solution

The fourth proportional to 510.42, 762.54 and 507.72 is: 758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.42 : 762.54 = 507.72 : x
  2. Step 2: Convert to fraction form
    510.42/762.54 = 507.72/x
  3. Step 3: Cross multiply
    510.42x = 762.54 × 507.72
  4. Step 4: Simplify right side
    510.42x = 387,156.81
  5. Step 5: Solve for x
    x = 387,156.81/510.42
  6. Step 6: Final answer
    x = 758.51

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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.