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Finding the Fourth Proportional to 1,220.47, 1,684.24 and 660.93

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Solution

The fourth proportional to 1,220.47, 1,684.24 and 660.93 is: 912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.47 : 1,684.24 = 660.93 : x
  2. Step 2: Convert to fraction form
    1,220.47/1,684.24 = 660.93/x
  3. Step 3: Cross multiply
    1,220.47x = 1,684.24 × 660.93
  4. Step 4: Simplify right side
    1,220.47x = 1,113,164.74
  5. Step 5: Solve for x
    x = 1,113,164.74/1,220.47
  6. Step 6: Final answer
    x = 912.08

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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.