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Finding the Fourth Proportional to 2,291.40, 3,437.04 and 647.94

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Solution

The fourth proportional to 2,291.40, 3,437.04 and 647.94 is: 971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.40 : 3,437.04 = 647.94 : x
  2. Step 2: Convert to fraction form
    2,291.40/3,437.04 = 647.94/x
  3. Step 3: Cross multiply
    2,291.40x = 3,437.04 × 647.94
  4. Step 4: Simplify right side
    2,291.40x = 2,226,995.70
  5. Step 5: Solve for x
    x = 2,226,995.70/2,291.40
  6. Step 6: Final answer
    x = 971.89

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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.