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Finding the Fourth Proportional to 595.17, 892.40 and 402.21

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Solution

The fourth proportional to 595.17, 892.40 and 402.21 is: 603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.17 : 892.40 = 402.21 : x
  2. Step 2: Convert to fraction form
    595.17/892.40 = 402.21/x
  3. Step 3: Cross multiply
    595.17x = 892.40 × 402.21
  4. Step 4: Simplify right side
    595.17x = 358,930.19
  5. Step 5: Solve for x
    x = 358,930.19/595.17
  6. Step 6: Final answer
    x = 603.07

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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.