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Finding the Fourth Proportional to 712.23, 983.12 and 432.65

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Solution

The fourth proportional to 712.23, 983.12 and 432.65 is: 597.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.23 : 983.12 = 432.65 : x
  2. Step 2: Convert to fraction form
    712.23/983.12 = 432.65/x
  3. Step 3: Cross multiply
    712.23x = 983.12 × 432.65
  4. Step 4: Simplify right side
    712.23x = 425,339.79
  5. Step 5: Solve for x
    x = 425,339.79/712.23
  6. Step 6: Final answer
    x = 597.19

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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.