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Finding the Fourth Proportional to 895.85, 1,236.26 and 497.49

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Solution

The fourth proportional to 895.85, 1,236.26 and 497.49 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.85 : 1,236.26 = 497.49 : x
  2. Step 2: Convert to fraction form
    895.85/1,236.26 = 497.49/x
  3. Step 3: Cross multiply
    895.85x = 1,236.26 × 497.49
  4. Step 4: Simplify right side
    895.85x = 615,024.50
  5. Step 5: Solve for x
    x = 615,024.50/895.85
  6. Step 6: Final answer
    x = 686.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.