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Finding the Fourth Proportional to 1,088.05, 1,632.08 and 698.23

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Solution

The fourth proportional to 1,088.05, 1,632.08 and 698.23 is: 1,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.05 : 1,632.08 = 698.23 : x
  2. Step 2: Convert to fraction form
    1,088.05/1,632.08 = 698.23/x
  3. Step 3: Cross multiply
    1,088.05x = 1,632.08 × 698.23
  4. Step 4: Simplify right side
    1,088.05x = 1,139,567.22
  5. Step 5: Solve for x
    x = 1,139,567.22/1,088.05
  6. Step 6: Final answer
    x = 1,047.35

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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.