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Finding the Fourth Proportional to 901.04, 1,351.84 and 414.08

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Solution

The fourth proportional to 901.04, 1,351.84 and 414.08 is: 621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.04 : 1,351.84 = 414.08 : x
  2. Step 2: Convert to fraction form
    901.04/1,351.84 = 414.08/x
  3. Step 3: Cross multiply
    901.04x = 1,351.84 × 414.08
  4. Step 4: Simplify right side
    901.04x = 559,769.91
  5. Step 5: Solve for x
    x = 559,769.91/901.04
  6. Step 6: Final answer
    x = 621.25

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1.5x scale

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.