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Finding the Fourth Proportional to 1,038.84, 1,557.24 and 552.16

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Solution

The fourth proportional to 1,038.84, 1,557.24 and 552.16 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.84 : 1,557.24 = 552.16 : x
  2. Step 2: Convert to fraction form
    1,038.84/1,557.24 = 552.16/x
  3. Step 3: Cross multiply
    1,038.84x = 1,557.24 × 552.16
  4. Step 4: Simplify right side
    1,038.84x = 859,845.64
  5. Step 5: Solve for x
    x = 859,845.64/1,038.84
  6. Step 6: Final answer
    x = 827.70

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