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Finding the Fourth Proportional to 887.74, 1,224.64 and 593.10

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Solution

The fourth proportional to 887.74, 1,224.64 and 593.10 is: 818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.74 : 1,224.64 = 593.10 : x
  2. Step 2: Convert to fraction form
    887.74/1,224.64 = 593.10/x
  3. Step 3: Cross multiply
    887.74x = 1,224.64 × 593.10
  4. Step 4: Simplify right side
    887.74x = 726,333.98
  5. Step 5: Solve for x
    x = 726,333.98/887.74
  6. Step 6: Final answer
    x = 818.18

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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.