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Finding the Fourth Proportional to 938.84, 1,407.66 and 322.49

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Solution

The fourth proportional to 938.84, 1,407.66 and 322.49 is: 483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.84 : 1,407.66 = 322.49 : x
  2. Step 2: Convert to fraction form
    938.84/1,407.66 = 322.49/x
  3. Step 3: Cross multiply
    938.84x = 1,407.66 × 322.49
  4. Step 4: Simplify right side
    938.84x = 453,949.24
  5. Step 5: Solve for x
    x = 453,949.24/938.84
  6. Step 6: Final answer
    x = 483.52

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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.