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Finding the Fourth Proportional to 1,140.93, 1,574.37 and 643.50

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Solution

The fourth proportional to 1,140.93, 1,574.37 and 643.50 is: 887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.93 : 1,574.37 = 643.50 : x
  2. Step 2: Convert to fraction form
    1,140.93/1,574.37 = 643.50/x
  3. Step 3: Cross multiply
    1,140.93x = 1,574.37 × 643.50
  4. Step 4: Simplify right side
    1,140.93x = 1,013,107.10
  5. Step 5: Solve for x
    x = 1,013,107.10/1,140.93
  6. Step 6: Final answer
    x = 887.97

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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.