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Finding the Fourth Proportional to 895.78, 1,236.15 and 497.47

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Solution

The fourth proportional to 895.78, 1,236.15 and 497.47 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.78 : 1,236.15 = 497.47 : x
  2. Step 2: Convert to fraction form
    895.78/1,236.15 = 497.47/x
  3. Step 3: Cross multiply
    895.78x = 1,236.15 × 497.47
  4. Step 4: Simplify right side
    895.78x = 614,947.54
  5. Step 5: Solve for x
    x = 614,947.54/895.78
  6. Step 6: Final answer
    x = 686.49

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Double scale
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1.5x scale

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.