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Finding the Fourth Proportional to 1,687.36, 2,530.56 and 647.29

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Solution

The fourth proportional to 1,687.36, 2,530.56 and 647.29 is: 970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.36 : 2,530.56 = 647.29 : x
  2. Step 2: Convert to fraction form
    1,687.36/2,530.56 = 647.29/x
  3. Step 3: Cross multiply
    1,687.36x = 2,530.56 × 647.29
  4. Step 4: Simplify right side
    1,687.36x = 1,638,006.18
  5. Step 5: Solve for x
    x = 1,638,006.18/1,687.36
  6. Step 6: Final answer
    x = 970.75

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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.