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Finding the Fourth Proportional to 599.52, 895.78 and 442.68

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Solution

The fourth proportional to 599.52, 895.78 and 442.68 is: 661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 895.78 = 442.68 : x
  2. Step 2: Convert to fraction form
    599.52/895.78 = 442.68/x
  3. Step 3: Cross multiply
    599.52x = 895.78 × 442.68
  4. Step 4: Simplify right side
    599.52x = 396,543.89
  5. Step 5: Solve for x
    x = 396,543.89/599.52
  6. Step 6: Final answer
    x = 661.44

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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.