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Finding the Fourth Proportional to 768.37, 1,060.95 and 602.32

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Solution

The fourth proportional to 768.37, 1,060.95 and 602.32 is: 831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.37 : 1,060.95 = 602.32 : x
  2. Step 2: Convert to fraction form
    768.37/1,060.95 = 602.32/x
  3. Step 3: Cross multiply
    768.37x = 1,060.95 × 602.32
  4. Step 4: Simplify right side
    768.37x = 639,031.40
  5. Step 5: Solve for x
    x = 639,031.40/768.37
  6. Step 6: Final answer
    x = 831.67

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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.