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Finding the Fourth Proportional to 507.06, 756.63 and 455.16

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Solution

The fourth proportional to 507.06, 756.63 and 455.16 is: 679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.06 : 756.63 = 455.16 : x
  2. Step 2: Convert to fraction form
    507.06/756.63 = 455.16/x
  3. Step 3: Cross multiply
    507.06x = 756.63 × 455.16
  4. Step 4: Simplify right side
    507.06x = 344,387.71
  5. Step 5: Solve for x
    x = 344,387.71/507.06
  6. Step 6: Final answer
    x = 679.19

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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.