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Finding the Fourth Proportional to 821.38, 1,133.50 and 472.07

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Solution

The fourth proportional to 821.38, 1,133.50 and 472.07 is: 651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.38 : 1,133.50 = 472.07 : x
  2. Step 2: Convert to fraction form
    821.38/1,133.50 = 472.07/x
  3. Step 3: Cross multiply
    821.38x = 1,133.50 × 472.07
  4. Step 4: Simplify right side
    821.38x = 535,086.86
  5. Step 5: Solve for x
    x = 535,086.86/821.38
  6. Step 6: Final answer
    x = 651.45

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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.