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Finding the Fourth Proportional to 2,402.30, 3,603.14 and 647.44

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Solution

The fourth proportional to 2,402.30, 3,603.14 and 647.44 is: 971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.30 : 3,603.14 = 647.44 : x
  2. Step 2: Convert to fraction form
    2,402.30/3,603.14 = 647.44/x
  3. Step 3: Cross multiply
    2,402.30x = 3,603.14 × 647.44
  4. Step 4: Simplify right side
    2,402.30x = 2,332,816.96
  5. Step 5: Solve for x
    x = 2,332,816.96/2,402.30
  6. Step 6: Final answer
    x = 971.08

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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.