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Finding the Fourth Proportional to 843.51, 1,263.98 and 432.08

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Solution

The fourth proportional to 843.51, 1,263.98 and 432.08 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.51 : 1,263.98 = 432.08 : x
  2. Step 2: Convert to fraction form
    843.51/1,263.98 = 432.08/x
  3. Step 3: Cross multiply
    843.51x = 1,263.98 × 432.08
  4. Step 4: Simplify right side
    843.51x = 546,140.48
  5. Step 5: Solve for x
    x = 546,140.48/843.51
  6. Step 6: Final answer
    x = 647.46

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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.