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Finding the Fourth Proportional to 699.07, 1,047.71 and 288.50

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Solution

The fourth proportional to 699.07, 1,047.71 and 288.50 is: 432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.07 : 1,047.71 = 288.50 : x
  2. Step 2: Convert to fraction form
    699.07/1,047.71 = 288.50/x
  3. Step 3: Cross multiply
    699.07x = 1,047.71 × 288.50
  4. Step 4: Simplify right side
    699.07x = 302,260.11
  5. Step 5: Solve for x
    x = 302,260.11/699.07
  6. Step 6: Final answer
    x = 432.37

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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.