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Finding the Fourth Proportional to 597.42, 895.68 and 511.20

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Solution

The fourth proportional to 597.42, 895.68 and 511.20 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.42 : 895.68 = 511.20 : x
  2. Step 2: Convert to fraction form
    597.42/895.68 = 511.20/x
  3. Step 3: Cross multiply
    597.42x = 895.68 × 511.20
  4. Step 4: Simplify right side
    597.42x = 457,871.62
  5. Step 5: Solve for x
    x = 457,871.62/597.42
  6. Step 6: Final answer
    x = 766.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.