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Finding the Fourth Proportional to 934.31, 1,289.10 and 602.47

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Solution

The fourth proportional to 934.31, 1,289.10 and 602.47 is: 831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.31 : 1,289.10 = 602.47 : x
  2. Step 2: Convert to fraction form
    934.31/1,289.10 = 602.47/x
  3. Step 3: Cross multiply
    934.31x = 1,289.10 × 602.47
  4. Step 4: Simplify right side
    934.31x = 776,644.08
  5. Step 5: Solve for x
    x = 776,644.08/934.31
  6. Step 6: Final answer
    x = 831.25

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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.