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Finding the Fourth Proportional to 1,124.98, 1,552.44 and 977.56

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Solution

The fourth proportional to 1,124.98, 1,552.44 and 977.56 is: 1,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.98 : 1,552.44 = 977.56 : x
  2. Step 2: Convert to fraction form
    1,124.98/1,552.44 = 977.56/x
  3. Step 3: Cross multiply
    1,124.98x = 1,552.44 × 977.56
  4. Step 4: Simplify right side
    1,124.98x = 1,517,603.25
  5. Step 5: Solve for x
    x = 1,517,603.25/1,124.98
  6. Step 6: Final answer
    x = 1,349.00

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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.