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Finding the Fourth Proportional to 615.27, 919.13 and 507.13

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Solution

The fourth proportional to 615.27, 919.13 and 507.13 is: 757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.27 : 919.13 = 507.13 : x
  2. Step 2: Convert to fraction form
    615.27/919.13 = 507.13/x
  3. Step 3: Cross multiply
    615.27x = 919.13 × 507.13
  4. Step 4: Simplify right side
    615.27x = 466,118.40
  5. Step 5: Solve for x
    x = 466,118.40/615.27
  6. Step 6: Final answer
    x = 757.58

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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.