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Finding the Fourth Proportional to 1,088.50, 1,632.36 and 472.18

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Solution

The fourth proportional to 1,088.50, 1,632.36 and 472.18 is: 708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.50 : 1,632.36 = 472.18 : x
  2. Step 2: Convert to fraction form
    1,088.50/1,632.36 = 472.18/x
  3. Step 3: Cross multiply
    1,088.50x = 1,632.36 × 472.18
  4. Step 4: Simplify right side
    1,088.50x = 770,767.74
  5. Step 5: Solve for x
    x = 770,767.74/1,088.50
  6. Step 6: Final answer
    x = 708.10

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Double scale
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1.5x scale

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.