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Finding the Fourth Proportional to 722.24, 1,078.96 and 594.08

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Solution

The fourth proportional to 722.24, 1,078.96 and 594.08 is: 887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,078.96 = 594.08 : x
  2. Step 2: Convert to fraction form
    722.24/1,078.96 = 594.08/x
  3. Step 3: Cross multiply
    722.24x = 1,078.96 × 594.08
  4. Step 4: Simplify right side
    722.24x = 640,988.56
  5. Step 5: Solve for x
    x = 640,988.56/722.24
  6. Step 6: Final answer
    x = 887.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.