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Finding the Fourth Proportional to 480.58, 720.08 and 462.59

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Solution

The fourth proportional to 480.58, 720.08 and 462.59 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.58 : 720.08 = 462.59 : x
  2. Step 2: Convert to fraction form
    480.58/720.08 = 462.59/x
  3. Step 3: Cross multiply
    480.58x = 720.08 × 462.59
  4. Step 4: Simplify right side
    480.58x = 333,101.81
  5. Step 5: Solve for x
    x = 333,101.81/480.58
  6. Step 6: Final answer
    x = 693.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.