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Finding the Fourth Proportional to 608.42, 916.36 and 565.64

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Solution

The fourth proportional to 608.42, 916.36 and 565.64 is: 851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 916.36 = 565.64 : x
  2. Step 2: Convert to fraction form
    608.42/916.36 = 565.64/x
  3. Step 3: Cross multiply
    608.42x = 916.36 × 565.64
  4. Step 4: Simplify right side
    608.42x = 518,329.43
  5. Step 5: Solve for x
    x = 518,329.43/608.42
  6. Step 6: Final answer
    x = 851.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.