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Finding the Fourth Proportional to 862.99, 1,192.32 and 602.17

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Solution

The fourth proportional to 862.99, 1,192.32 and 602.17 is: 831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.99 : 1,192.32 = 602.17 : x
  2. Step 2: Convert to fraction form
    862.99/1,192.32 = 602.17/x
  3. Step 3: Cross multiply
    862.99x = 1,192.32 × 602.17
  4. Step 4: Simplify right side
    862.99x = 717,970.36
  5. Step 5: Solve for x
    x = 717,970.36/862.99
  6. Step 6: Final answer
    x = 831.96

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1.5x scale

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.