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Finding the Fourth Proportional to 945.03, 1,417.70 and 328.76

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Solution

The fourth proportional to 945.03, 1,417.70 and 328.76 is: 493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.03 : 1,417.70 = 328.76 : x
  2. Step 2: Convert to fraction form
    945.03/1,417.70 = 328.76/x
  3. Step 3: Cross multiply
    945.03x = 1,417.70 × 328.76
  4. Step 4: Simplify right side
    945.03x = 466,082.10
  5. Step 5: Solve for x
    x = 466,082.10/945.03
  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.