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Finding the Fourth Proportional to 480.04, 720.06 and 477.16

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Solution

The fourth proportional to 480.04, 720.06 and 477.16 is: 715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.04 : 720.06 = 477.16 : x
  2. Step 2: Convert to fraction form
    480.04/720.06 = 477.16/x
  3. Step 3: Cross multiply
    480.04x = 720.06 × 477.16
  4. Step 4: Simplify right side
    480.04x = 343,583.83
  5. Step 5: Solve for x
    x = 343,583.83/480.04
  6. Step 6: Final answer
    x = 715.74

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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.