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Finding the Fourth Proportional to 480, 718.98 and 463.16

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Solution

The fourth proportional to 480, 718.98 and 463.16 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 718.98 = 463.16 : x
  2. Step 2: Convert to fraction form
    480/718.98 = 463.16/x
  3. Step 3: Cross multiply
    480x = 718.98 × 463.16
  4. Step 4: Simplify right side
    480x = 333,002.78
  5. Step 5: Solve for x
    x = 333,002.78/480
  6. Step 6: Final answer
    x = 693.76

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