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Finding the Fourth Proportional to 1,088.70, 1,632.98 and 472.10

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Solution

The fourth proportional to 1,088.70, 1,632.98 and 472.10 is: 708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.70 : 1,632.98 = 472.10 : x
  2. Step 2: Convert to fraction form
    1,088.70/1,632.98 = 472.10/x
  3. Step 3: Cross multiply
    1,088.70x = 1,632.98 × 472.10
  4. Step 4: Simplify right side
    1,088.70x = 770,929.86
  5. Step 5: Solve for x
    x = 770,929.86/1,088.70
  6. Step 6: Final answer
    x = 708.12

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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.