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Finding the Fourth Proportional to 1,089.19, 1,624.12 and 959.68

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Solution

The fourth proportional to 1,089.19, 1,624.12 and 959.68 is: 1,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.19 : 1,624.12 = 959.68 : x
  2. Step 2: Convert to fraction form
    1,089.19/1,624.12 = 959.68/x
  3. Step 3: Cross multiply
    1,089.19x = 1,624.12 × 959.68
  4. Step 4: Simplify right side
    1,089.19x = 1,558,635.48
  5. Step 5: Solve for x
    x = 1,558,635.48/1,089.19
  6. Step 6: Final answer
    x = 1,431.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.