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Finding the Fourth Proportional to 873.90, 1,204.80 and 593.64

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Solution

The fourth proportional to 873.90, 1,204.80 and 593.64 is: 818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,204.80 = 593.64 : x
  2. Step 2: Convert to fraction form
    873.90/1,204.80 = 593.64/x
  3. Step 3: Cross multiply
    873.90x = 1,204.80 × 593.64
  4. Step 4: Simplify right side
    873.90x = 715,217.47
  5. Step 5: Solve for x
    x = 715,217.47/873.90
  6. Step 6: Final answer
    x = 818.42

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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.