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Finding the Fourth Proportional to 614.02, 916.48 and 565.21

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Solution

The fourth proportional to 614.02, 916.48 and 565.21 is: 843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 916.48 = 565.21 : x
  2. Step 2: Convert to fraction form
    614.02/916.48 = 565.21/x
  3. Step 3: Cross multiply
    614.02x = 916.48 × 565.21
  4. Step 4: Simplify right side
    614.02x = 518,003.66
  5. Step 5: Solve for x
    x = 518,003.66/614.02
  6. Step 6: Final answer
    x = 843.63

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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.