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Finding the Fourth Proportional to 723.48, 998.70 and 524.76

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Solution

The fourth proportional to 723.48, 998.70 and 524.76 is: 724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.48 : 998.70 = 524.76 : x
  2. Step 2: Convert to fraction form
    723.48/998.70 = 524.76/x
  3. Step 3: Cross multiply
    723.48x = 998.70 × 524.76
  4. Step 4: Simplify right side
    723.48x = 524,077.81
  5. Step 5: Solve for x
    x = 524,077.81/723.48
  6. Step 6: Final answer
    x = 724.38

Related Problems

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Half scale
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Double scale
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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.