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Finding the Fourth Proportional to 480, 716.01 and 472.07

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Solution

The fourth proportional to 480, 716.01 and 472.07 is: 704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 716.01 = 472.07 : x
  2. Step 2: Convert to fraction form
    480/716.01 = 472.07/x
  3. Step 3: Cross multiply
    480x = 716.01 × 472.07
  4. Step 4: Simplify right side
    480x = 338,008.63
  5. Step 5: Solve for x
    x = 338,008.63/480
  6. Step 6: Final answer
    x = 704.18

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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.