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Finding the Fourth Proportional to 923.76, 1,274.78 and 509.76

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Solution

The fourth proportional to 923.76, 1,274.78 and 509.76 is: 703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.76 : 1,274.78 = 509.76 : x
  2. Step 2: Convert to fraction form
    923.76/1,274.78 = 509.76/x
  3. Step 3: Cross multiply
    923.76x = 1,274.78 × 509.76
  4. Step 4: Simplify right side
    923.76x = 649,831.85
  5. Step 5: Solve for x
    x = 649,831.85/923.76
  6. Step 6: Final answer
    x = 703.46

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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.