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Finding the Fourth Proportional to 945.71, 1,420.80 and 556.71

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Solution

The fourth proportional to 945.71, 1,420.80 and 556.71 is: 836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.71 : 1,420.80 = 556.71 : x
  2. Step 2: Convert to fraction form
    945.71/1,420.80 = 556.71/x
  3. Step 3: Cross multiply
    945.71x = 1,420.80 × 556.71
  4. Step 4: Simplify right side
    945.71x = 790,970.78
  5. Step 5: Solve for x
    x = 790,970.78/945.71
  6. Step 6: Final answer
    x = 836.38

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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.