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Finding the Fourth Proportional to 1,354.61, 2,032.17 and 430.40

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Solution

The fourth proportional to 1,354.61, 2,032.17 and 430.40 is: 645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.61 : 2,032.17 = 430.40 : x
  2. Step 2: Convert to fraction form
    1,354.61/2,032.17 = 430.40/x
  3. Step 3: Cross multiply
    1,354.61x = 2,032.17 × 430.40
  4. Step 4: Simplify right side
    1,354.61x = 874,647.04
  5. Step 5: Solve for x
    x = 874,647.04/1,354.61
  6. Step 6: Final answer
    x = 645.68

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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.