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Finding the Fourth Proportional to 720.18, 993.51 and 523.35

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Solution

The fourth proportional to 720.18, 993.51 and 523.35 is: 721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.18 : 993.51 = 523.35 : x
  2. Step 2: Convert to fraction form
    720.18/993.51 = 523.35/x
  3. Step 3: Cross multiply
    720.18x = 993.51 × 523.35
  4. Step 4: Simplify right side
    720.18x = 519,953.46
  5. Step 5: Solve for x
    x = 519,953.46/720.18
  6. Step 6: Final answer
    x = 721.98

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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.