Home / 1,088.04-1,632.10-470.90

Finding the Fourth Proportional to 1,088.04, 1,632.10 and 470.90

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Solution

The fourth proportional to 1,088.04, 1,632.10 and 470.90 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.04 : 1,632.10 = 470.90 : x
  2. Step 2: Convert to fraction form
    1,088.04/1,632.10 = 470.90/x
  3. Step 3: Cross multiply
    1,088.04x = 1,632.10 × 470.90
  4. Step 4: Simplify right side
    1,088.04x = 768,555.89
  5. Step 5: Solve for x
    x = 768,555.89/1,088.04
  6. Step 6: Final answer
    x = 706.37

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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.