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Finding the Fourth Proportional to 1,088.33, 1,624.10 and 971.53

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Solution

The fourth proportional to 1,088.33, 1,624.10 and 971.53 is: 1,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.33 : 1,624.10 = 971.53 : x
  2. Step 2: Convert to fraction form
    1,088.33/1,624.10 = 971.53/x
  3. Step 3: Cross multiply
    1,088.33x = 1,624.10 × 971.53
  4. Step 4: Simplify right side
    1,088.33x = 1,577,861.92
  5. Step 5: Solve for x
    x = 1,577,861.92/1,088.33
  6. Step 6: Final answer
    x = 1,449.80

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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.