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Finding the Fourth Proportional to 841.98, 1,263.56 and 471.40

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Solution

The fourth proportional to 841.98, 1,263.56 and 471.40 is: 707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.98 : 1,263.56 = 471.40 : x
  2. Step 2: Convert to fraction form
    841.98/1,263.56 = 471.40/x
  3. Step 3: Cross multiply
    841.98x = 1,263.56 × 471.40
  4. Step 4: Simplify right side
    841.98x = 595,642.18
  5. Step 5: Solve for x
    x = 595,642.18/841.98
  6. Step 6: Final answer
    x = 707.43

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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.