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Finding the Fourth Proportional to 826.02, 1,139.81 and 471.98

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Solution

The fourth proportional to 826.02, 1,139.81 and 471.98 is: 651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.02 : 1,139.81 = 471.98 : x
  2. Step 2: Convert to fraction form
    826.02/1,139.81 = 471.98/x
  3. Step 3: Cross multiply
    826.02x = 1,139.81 × 471.98
  4. Step 4: Simplify right side
    826.02x = 537,968.01
  5. Step 5: Solve for x
    x = 537,968.01/826.02
  6. Step 6: Final answer
    x = 651.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.