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Finding the Fourth Proportional to 841.42, 1,261.23 and 430.17

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Solution

The fourth proportional to 841.42, 1,261.23 and 430.17 is: 644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.42 : 1,261.23 = 430.17 : x
  2. Step 2: Convert to fraction form
    841.42/1,261.23 = 430.17/x
  3. Step 3: Cross multiply
    841.42x = 1,261.23 × 430.17
  4. Step 4: Simplify right side
    841.42x = 542,543.31
  5. Step 5: Solve for x
    x = 542,543.31/841.42
  6. Step 6: Final answer
    x = 644.79

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1.5x scale

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.