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Finding the Fourth Proportional to 1,088.80, 1,631.57 and 895.16

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Solution

The fourth proportional to 1,088.80, 1,631.57 and 895.16 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.80 : 1,631.57 = 895.16 : x
  2. Step 2: Convert to fraction form
    1,088.80/1,631.57 = 895.16/x
  3. Step 3: Cross multiply
    1,088.80x = 1,631.57 × 895.16
  4. Step 4: Simplify right side
    1,088.80x = 1,460,516.20
  5. Step 5: Solve for x
    x = 1,460,516.20/1,088.80
  6. Step 6: Final answer
    x = 1,341.40

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Why These Related Problems?

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