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Finding the Fourth Proportional to 712.95, 983.61 and 433.08

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Solution

The fourth proportional to 712.95, 983.61 and 433.08 is: 597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.95 : 983.61 = 433.08 : x
  2. Step 2: Convert to fraction form
    712.95/983.61 = 433.08/x
  3. Step 3: Cross multiply
    712.95x = 983.61 × 433.08
  4. Step 4: Simplify right side
    712.95x = 425,981.82
  5. Step 5: Solve for x
    x = 425,981.82/712.95
  6. Step 6: Final answer
    x = 597.49

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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.