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Finding the Fourth Proportional to 799.61, 1,197.68 and 433.63

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Solution

The fourth proportional to 799.61, 1,197.68 and 433.63 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.61 : 1,197.68 = 433.63 : x
  2. Step 2: Convert to fraction form
    799.61/1,197.68 = 433.63/x
  3. Step 3: Cross multiply
    799.61x = 1,197.68 × 433.63
  4. Step 4: Simplify right side
    799.61x = 519,341.82
  5. Step 5: Solve for x
    x = 519,341.82/799.61
  6. Step 6: Final answer
    x = 649.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.