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Finding the Fourth Proportional to 945.13, 1,417.89 and 328.75

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Solution

The fourth proportional to 945.13, 1,417.89 and 328.75 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.13 : 1,417.89 = 328.75 : x
  2. Step 2: Convert to fraction form
    945.13/1,417.89 = 328.75/x
  3. Step 3: Cross multiply
    945.13x = 1,417.89 × 328.75
  4. Step 4: Simplify right side
    945.13x = 466,131.34
  5. Step 5: Solve for x
    x = 466,131.34/945.13
  6. Step 6: Final answer
    x = 493.19

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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.