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Finding the Fourth Proportional to 1,687.13, 2,328.23 and 988.50

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Solution

The fourth proportional to 1,687.13, 2,328.23 and 988.50 is: 1,364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.13 : 2,328.23 = 988.50 : x
  2. Step 2: Convert to fraction form
    1,687.13/2,328.23 = 988.50/x
  3. Step 3: Cross multiply
    1,687.13x = 2,328.23 × 988.50
  4. Step 4: Simplify right side
    1,687.13x = 2,301,457.83
  5. Step 5: Solve for x
    x = 2,301,457.83/1,687.13
  6. Step 6: Final answer
    x = 1,364.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.