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Finding the Fourth Proportional to 1,137.84, 1,570.16 and 640.48

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Solution

The fourth proportional to 1,137.84, 1,570.16 and 640.48 is: 883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.84 : 1,570.16 = 640.48 : x
  2. Step 2: Convert to fraction form
    1,137.84/1,570.16 = 640.48/x
  3. Step 3: Cross multiply
    1,137.84x = 1,570.16 × 640.48
  4. Step 4: Simplify right side
    1,137.84x = 1,005,656.08
  5. Step 5: Solve for x
    x = 1,005,656.08/1,137.84
  6. Step 6: Final answer
    x = 883.83

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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.