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Finding the Fourth Proportional to 917.29, 1,376.52 and 397.21

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Solution

The fourth proportional to 917.29, 1,376.52 and 397.21 is: 596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.29 : 1,376.52 = 397.21 : x
  2. Step 2: Convert to fraction form
    917.29/1,376.52 = 397.21/x
  3. Step 3: Cross multiply
    917.29x = 1,376.52 × 397.21
  4. Step 4: Simplify right side
    917.29x = 546,767.51
  5. Step 5: Solve for x
    x = 546,767.51/917.29
  6. Step 6: Final answer
    x = 596.07

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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.