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Finding the Fourth Proportional to 720.30, 993.48 and 458.08

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Solution

The fourth proportional to 720.30, 993.48 and 458.08 is: 631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.30 : 993.48 = 458.08 : x
  2. Step 2: Convert to fraction form
    720.30/993.48 = 458.08/x
  3. Step 3: Cross multiply
    720.30x = 993.48 × 458.08
  4. Step 4: Simplify right side
    720.30x = 455,093.32
  5. Step 5: Solve for x
    x = 455,093.32/720.30
  6. Step 6: Final answer
    x = 631.81

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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.