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Finding the Fourth Proportional to 823.04, 1,134.24 and 589.76

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Solution

The fourth proportional to 823.04, 1,134.24 and 589.76 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.04 : 1,134.24 = 589.76 : x
  2. Step 2: Convert to fraction form
    823.04/1,134.24 = 589.76/x
  3. Step 3: Cross multiply
    823.04x = 1,134.24 × 589.76
  4. Step 4: Simplify right side
    823.04x = 668,929.38
  5. Step 5: Solve for x
    x = 668,929.38/823.04
  6. Step 6: Final answer
    x = 812.75

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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.