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Finding the Fourth Proportional to 858.38, 1,184.56 and 596.54

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Solution

The fourth proportional to 858.38, 1,184.56 and 596.54 is: 823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,184.56 = 596.54 : x
  2. Step 2: Convert to fraction form
    858.38/1,184.56 = 596.54/x
  3. Step 3: Cross multiply
    858.38x = 1,184.56 × 596.54
  4. Step 4: Simplify right side
    858.38x = 706,637.42
  5. Step 5: Solve for x
    x = 706,637.42/858.38
  6. Step 6: Final answer
    x = 823.22

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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.