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Finding the Fourth Proportional to 841.32, 1,263.15 and 430.79

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Solution

The fourth proportional to 841.32, 1,263.15 and 430.79 is: 646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.32 : 1,263.15 = 430.79 : x
  2. Step 2: Convert to fraction form
    841.32/1,263.15 = 430.79/x
  3. Step 3: Cross multiply
    841.32x = 1,263.15 × 430.79
  4. Step 4: Simplify right side
    841.32x = 544,146.07
  5. Step 5: Solve for x
    x = 544,146.07/841.32
  6. Step 6: Final answer
    x = 646.78

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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.