Home / 1,122.16-1,548.56-624.78

Finding the Fourth Proportional to 1,122.16, 1,548.56 and 624.78

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Solution

The fourth proportional to 1,122.16, 1,548.56 and 624.78 is: 862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.16 : 1,548.56 = 624.78 : x
  2. Step 2: Convert to fraction form
    1,122.16/1,548.56 = 624.78/x
  3. Step 3: Cross multiply
    1,122.16x = 1,548.56 × 624.78
  4. Step 4: Simplify right side
    1,122.16x = 967,509.32
  5. Step 5: Solve for x
    x = 967,509.32/1,122.16
  6. Step 6: Final answer
    x = 862.18

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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.