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Finding the Fourth Proportional to 841.26, 1,262.50 and 430.74

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Solution

The fourth proportional to 841.26, 1,262.50 and 430.74 is: 646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.26 : 1,262.50 = 430.74 : x
  2. Step 2: Convert to fraction form
    841.26/1,262.50 = 430.74/x
  3. Step 3: Cross multiply
    841.26x = 1,262.50 × 430.74
  4. Step 4: Simplify right side
    841.26x = 543,809.25
  5. Step 5: Solve for x
    x = 543,809.25/841.26
  6. Step 6: Final answer
    x = 646.42

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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.