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Finding the Fourth Proportional to 480.30, 715.34 and 463.29

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Solution

The fourth proportional to 480.30, 715.34 and 463.29 is: 690.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.30 : 715.34 = 463.29 : x
  2. Step 2: Convert to fraction form
    480.30/715.34 = 463.29/x
  3. Step 3: Cross multiply
    480.30x = 715.34 × 463.29
  4. Step 4: Simplify right side
    480.30x = 331,407.55
  5. Step 5: Solve for x
    x = 331,407.55/480.30
  6. Step 6: Final answer
    x = 690.00

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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.