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Finding the Fourth Proportional to 713.65, 985.02 and 433.90

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Solution

The fourth proportional to 713.65, 985.02 and 433.90 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.65 : 985.02 = 433.90 : x
  2. Step 2: Convert to fraction form
    713.65/985.02 = 433.90/x
  3. Step 3: Cross multiply
    713.65x = 985.02 × 433.90
  4. Step 4: Simplify right side
    713.65x = 427,400.18
  5. Step 5: Solve for x
    x = 427,400.18/713.65
  6. Step 6: Final answer
    x = 598.89

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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.