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Finding the Fourth Proportional to 1,265.00, 1,897.55 and 432.05

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Solution

The fourth proportional to 1,265.00, 1,897.55 and 432.05 is: 648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.00 : 1,897.55 = 432.05 : x
  2. Step 2: Convert to fraction form
    1,265.00/1,897.55 = 432.05/x
  3. Step 3: Cross multiply
    1,265.00x = 1,897.55 × 432.05
  4. Step 4: Simplify right side
    1,265.00x = 819,824.83
  5. Step 5: Solve for x
    x = 819,824.83/1,265.00
  6. Step 6: Final answer
    x = 648.09

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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.