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Finding the Fourth Proportional to 926.35, 1,388.64 and 341.22

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Solution

The fourth proportional to 926.35, 1,388.64 and 341.22 is: 511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.35 : 1,388.64 = 341.22 : x
  2. Step 2: Convert to fraction form
    926.35/1,388.64 = 341.22/x
  3. Step 3: Cross multiply
    926.35x = 1,388.64 × 341.22
  4. Step 4: Simplify right side
    926.35x = 473,831.74
  5. Step 5: Solve for x
    x = 473,831.74/926.35
  6. Step 6: Final answer
    x = 511.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.