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Finding the Fourth Proportional to 1,688.18, 2,328.54 and 989.54

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Solution

The fourth proportional to 1,688.18, 2,328.54 and 989.54 is: 1,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.18 : 2,328.54 = 989.54 : x
  2. Step 2: Convert to fraction form
    1,688.18/2,328.54 = 989.54/x
  3. Step 3: Cross multiply
    1,688.18x = 2,328.54 × 989.54
  4. Step 4: Simplify right side
    1,688.18x = 2,304,183.47
  5. Step 5: Solve for x
    x = 2,304,183.47/1,688.18
  6. Step 6: Final answer
    x = 1,364.89

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1.5x scale

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.