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Finding the Fourth Proportional to 1,140.99, 1,574.49 and 643.65

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Solution

The fourth proportional to 1,140.99, 1,574.49 and 643.65 is: 888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.99 : 1,574.49 = 643.65 : x
  2. Step 2: Convert to fraction form
    1,140.99/1,574.49 = 643.65/x
  3. Step 3: Cross multiply
    1,140.99x = 1,574.49 × 643.65
  4. Step 4: Simplify right side
    1,140.99x = 1,013,420.49
  5. Step 5: Solve for x
    x = 1,013,420.49/1,140.99
  6. Step 6: Final answer
    x = 888.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.