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Finding the Fourth Proportional to 1,354.72, 2,032.08 and 328.72

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Solution

The fourth proportional to 1,354.72, 2,032.08 and 328.72 is: 493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.72 : 2,032.08 = 328.72 : x
  2. Step 2: Convert to fraction form
    1,354.72/2,032.08 = 328.72/x
  3. Step 3: Cross multiply
    1,354.72x = 2,032.08 × 328.72
  4. Step 4: Simplify right side
    1,354.72x = 667,985.34
  5. Step 5: Solve for x
    x = 667,985.34/1,354.72
  6. Step 6: Final answer
    x = 493.08

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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.