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Finding the Fourth Proportional to 1,687.12, 2,530.58 and 647.62

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Solution

The fourth proportional to 1,687.12, 2,530.58 and 647.62 is: 971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.12 : 2,530.58 = 647.62 : x
  2. Step 2: Convert to fraction form
    1,687.12/2,530.58 = 647.62/x
  3. Step 3: Cross multiply
    1,687.12x = 2,530.58 × 647.62
  4. Step 4: Simplify right side
    1,687.12x = 1,638,854.22
  5. Step 5: Solve for x
    x = 1,638,854.22/1,687.12
  6. Step 6: Final answer
    x = 971.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.