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Finding the Fourth Proportional to 480.32, 715.91 and 452.98

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Solution

The fourth proportional to 480.32, 715.91 and 452.98 is: 675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.32 : 715.91 = 452.98 : x
  2. Step 2: Convert to fraction form
    480.32/715.91 = 452.98/x
  3. Step 3: Cross multiply
    480.32x = 715.91 × 452.98
  4. Step 4: Simplify right side
    480.32x = 324,292.91
  5. Step 5: Solve for x
    x = 324,292.91/480.32
  6. Step 6: Final answer
    x = 675.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.