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Finding the Fourth Proportional to 1,220.61, 1,831.12 and 604.34

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Solution

The fourth proportional to 1,220.61, 1,831.12 and 604.34 is: 906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.61 : 1,831.12 = 604.34 : x
  2. Step 2: Convert to fraction form
    1,220.61/1,831.12 = 604.34/x
  3. Step 3: Cross multiply
    1,220.61x = 1,831.12 × 604.34
  4. Step 4: Simplify right side
    1,220.61x = 1,106,608.39
  5. Step 5: Solve for x
    x = 1,106,608.39/1,220.61
  6. Step 6: Final answer
    x = 906.60

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1.5x scale

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.