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Finding the Fourth Proportional to 901.65, 1,352.26 and 346.16

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Solution

The fourth proportional to 901.65, 1,352.26 and 346.16 is: 519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.65 : 1,352.26 = 346.16 : x
  2. Step 2: Convert to fraction form
    901.65/1,352.26 = 346.16/x
  3. Step 3: Cross multiply
    901.65x = 1,352.26 × 346.16
  4. Step 4: Simplify right side
    901.65x = 468,098.32
  5. Step 5: Solve for x
    x = 468,098.32/901.65
  6. Step 6: Final answer
    x = 519.16

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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.