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Finding the Fourth Proportional to 480.12, 718.95 and 402.90

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Solution

The fourth proportional to 480.12, 718.95 and 402.90 is: 603.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 718.95 = 402.90 : x
  2. Step 2: Convert to fraction form
    480.12/718.95 = 402.90/x
  3. Step 3: Cross multiply
    480.12x = 718.95 × 402.90
  4. Step 4: Simplify right side
    480.12x = 289,664.96
  5. Step 5: Solve for x
    x = 289,664.96/480.12
  6. Step 6: Final answer
    x = 603.32

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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.