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Finding the Fourth Proportional to 934.50, 1,289.90 and 602.92

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Solution

The fourth proportional to 934.50, 1,289.90 and 602.92 is: 832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.50 : 1,289.90 = 602.92 : x
  2. Step 2: Convert to fraction form
    934.50/1,289.90 = 602.92/x
  3. Step 3: Cross multiply
    934.50x = 1,289.90 × 602.92
  4. Step 4: Simplify right side
    934.50x = 777,706.51
  5. Step 5: Solve for x
    x = 777,706.51/934.50
  6. Step 6: Final answer
    x = 832.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.