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Finding the Fourth Proportional to 708.06, 977.13 and 432.06

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Solution

The fourth proportional to 708.06, 977.13 and 432.06 is: 596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.06 : 977.13 = 432.06 : x
  2. Step 2: Convert to fraction form
    708.06/977.13 = 432.06/x
  3. Step 3: Cross multiply
    708.06x = 977.13 × 432.06
  4. Step 4: Simplify right side
    708.06x = 422,178.79
  5. Step 5: Solve for x
    x = 422,178.79/708.06
  6. Step 6: Final answer
    x = 596.25

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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.