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Finding the Fourth Proportional to 859.20, 1,184.80 and 597.12

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Solution

The fourth proportional to 859.20, 1,184.80 and 597.12 is: 823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.20 : 1,184.80 = 597.12 : x
  2. Step 2: Convert to fraction form
    859.20/1,184.80 = 597.12/x
  3. Step 3: Cross multiply
    859.20x = 1,184.80 × 597.12
  4. Step 4: Simplify right side
    859.20x = 707,467.78
  5. Step 5: Solve for x
    x = 707,467.78/859.20
  6. Step 6: Final answer
    x = 823.40

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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.