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Finding the Fourth Proportional to 698.94, 1,047.96 and 288.18

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Solution

The fourth proportional to 698.94, 1,047.96 and 288.18 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.94 : 1,047.96 = 288.18 : x
  2. Step 2: Convert to fraction form
    698.94/1,047.96 = 288.18/x
  3. Step 3: Cross multiply
    698.94x = 1,047.96 × 288.18
  4. Step 4: Simplify right side
    698.94x = 302,001.11
  5. Step 5: Solve for x
    x = 302,001.11/698.94
  6. Step 6: Final answer
    x = 432.08

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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.