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Finding the Fourth Proportional to 511.16, 762.62 and 507.51

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Solution

The fourth proportional to 511.16, 762.62 and 507.51 is: 757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 762.62 = 507.51 : x
  2. Step 2: Convert to fraction form
    511.16/762.62 = 507.51/x
  3. Step 3: Cross multiply
    511.16x = 762.62 × 507.51
  4. Step 4: Simplify right side
    511.16x = 387,034.74
  5. Step 5: Solve for x
    x = 387,034.74/511.16
  6. Step 6: Final answer
    x = 757.18

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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.