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Finding the Fourth Proportional to 945.27, 1,417.90 and 328.98

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Solution

The fourth proportional to 945.27, 1,417.90 and 328.98 is: 493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.27 : 1,417.90 = 328.98 : x
  2. Step 2: Convert to fraction form
    945.27/1,417.90 = 328.98/x
  3. Step 3: Cross multiply
    945.27x = 1,417.90 × 328.98
  4. Step 4: Simplify right side
    945.27x = 466,452.01
  5. Step 5: Solve for x
    x = 466,452.01/945.27
  6. Step 6: Final answer
    x = 493.46

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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.