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Finding the Fourth Proportional to 841.57, 1,261.54 and 430.90

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Solution

The fourth proportional to 841.57, 1,261.54 and 430.90 is: 645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.57 : 1,261.54 = 430.90 : x
  2. Step 2: Convert to fraction form
    841.57/1,261.54 = 430.90/x
  3. Step 3: Cross multiply
    841.57x = 1,261.54 × 430.90
  4. Step 4: Simplify right side
    841.57x = 543,595.43
  5. Step 5: Solve for x
    x = 543,595.43/841.57
  6. Step 6: Final answer
    x = 645.93

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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.