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Finding the Fourth Proportional to 841.25, 1,262.57 and 430.52

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Solution

The fourth proportional to 841.25, 1,262.57 and 430.52 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.25 : 1,262.57 = 430.52 : x
  2. Step 2: Convert to fraction form
    841.25/1,262.57 = 430.52/x
  3. Step 3: Cross multiply
    841.25x = 1,262.57 × 430.52
  4. Step 4: Simplify right side
    841.25x = 543,553.17
  5. Step 5: Solve for x
    x = 543,553.17/841.25
  6. Step 6: Final answer
    x = 646.12

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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.