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Finding the Fourth Proportional to 614.15, 916.49 and 506.15

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Solution

The fourth proportional to 614.15, 916.49 and 506.15 is: 755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.15 : 916.49 = 506.15 : x
  2. Step 2: Convert to fraction form
    614.15/916.49 = 506.15/x
  3. Step 3: Cross multiply
    614.15x = 916.49 × 506.15
  4. Step 4: Simplify right side
    614.15x = 463,881.41
  5. Step 5: Solve for x
    x = 463,881.41/614.15
  6. Step 6: Final answer
    x = 755.32

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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.