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Finding the Fourth Proportional to 821.07, 1,133.19 and 624.24

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Solution

The fourth proportional to 821.07, 1,133.19 and 624.24 is: 861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,133.19 = 624.24 : x
  2. Step 2: Convert to fraction form
    821.07/1,133.19 = 624.24/x
  3. Step 3: Cross multiply
    821.07x = 1,133.19 × 624.24
  4. Step 4: Simplify right side
    821.07x = 707,382.53
  5. Step 5: Solve for x
    x = 707,382.53/821.07
  6. Step 6: Final answer
    x = 861.54

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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.