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Finding the Fourth Proportional to 2,291.79, 3,437.28 and 647.97

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Solution

The fourth proportional to 2,291.79, 3,437.28 and 647.97 is: 971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.79 : 3,437.28 = 647.97 : x
  2. Step 2: Convert to fraction form
    2,291.79/3,437.28 = 647.97/x
  3. Step 3: Cross multiply
    2,291.79x = 3,437.28 × 647.97
  4. Step 4: Simplify right side
    2,291.79x = 2,227,254.32
  5. Step 5: Solve for x
    x = 2,227,254.32/2,291.79
  6. Step 6: Final answer
    x = 971.84

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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.