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Finding the Fourth Proportional to 873.71, 1,205.42 and 593.46

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Solution

The fourth proportional to 873.71, 1,205.42 and 593.46 is: 818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.71 : 1,205.42 = 593.46 : x
  2. Step 2: Convert to fraction form
    873.71/1,205.42 = 593.46/x
  3. Step 3: Cross multiply
    873.71x = 1,205.42 × 593.46
  4. Step 4: Simplify right side
    873.71x = 715,367.39
  5. Step 5: Solve for x
    x = 715,367.39/873.71
  6. Step 6: Final answer
    x = 818.77

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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.