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Finding the Fourth Proportional to 599.40, 826.89 and 433.35

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Solution

The fourth proportional to 599.40, 826.89 and 433.35 is: 597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 826.89 = 433.35 : x
  2. Step 2: Convert to fraction form
    599.40/826.89 = 433.35/x
  3. Step 3: Cross multiply
    599.40x = 826.89 × 433.35
  4. Step 4: Simplify right side
    599.40x = 358,332.78
  5. Step 5: Solve for x
    x = 358,332.78/599.40
  6. Step 6: Final answer
    x = 597.82

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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.