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Finding the Fourth Proportional to 598.68, 826.56 and 433.44

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Solution

The fourth proportional to 598.68, 826.56 and 433.44 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.68 : 826.56 = 433.44 : x
  2. Step 2: Convert to fraction form
    598.68/826.56 = 433.44/x
  3. Step 3: Cross multiply
    598.68x = 826.56 × 433.44
  4. Step 4: Simplify right side
    598.68x = 358,264.17
  5. Step 5: Solve for x
    x = 358,264.17/598.68
  6. Step 6: Final answer
    x = 598.42

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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.