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Finding the Fourth Proportional to 894.96, 1,342.95 and 432.74

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Solution

The fourth proportional to 894.96, 1,342.95 and 432.74 is: 649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.96 : 1,342.95 = 432.74 : x
  2. Step 2: Convert to fraction form
    894.96/1,342.95 = 432.74/x
  3. Step 3: Cross multiply
    894.96x = 1,342.95 × 432.74
  4. Step 4: Simplify right side
    894.96x = 581,155.69
  5. Step 5: Solve for x
    x = 581,155.69/894.96
  6. Step 6: Final answer
    x = 649.36

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Double scale
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1.5x scale

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.