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Finding the Fourth Proportional to 720.48, 993.28 and 524

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Solution

The fourth proportional to 720.48, 993.28 and 524 is: 722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.48 : 993.28 = 524 : x
  2. Step 2: Convert to fraction form
    720.48/993.28 = 524/x
  3. Step 3: Cross multiply
    720.48x = 993.28 × 524
  4. Step 4: Simplify right side
    720.48x = 520,478.72
  5. Step 5: Solve for x
    x = 520,478.72/720.48
  6. Step 6: Final answer
    x = 722.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.