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Finding the Fourth Proportional to 723.24, 991.58 and 710.10

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Solution

The fourth proportional to 723.24, 991.58 and 710.10 is: 973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.24 : 991.58 = 710.10 : x
  2. Step 2: Convert to fraction form
    723.24/991.58 = 710.10/x
  3. Step 3: Cross multiply
    723.24x = 991.58 × 710.10
  4. Step 4: Simplify right side
    723.24x = 704,117.41
  5. Step 5: Solve for x
    x = 704,117.41/723.24
  6. Step 6: Final answer
    x = 973.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.