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Finding the Fourth Proportional to 1,140.84, 1,574.46 and 643.46

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Solution

The fourth proportional to 1,140.84, 1,574.46 and 643.46 is: 888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.84 : 1,574.46 = 643.46 : x
  2. Step 2: Convert to fraction form
    1,140.84/1,574.46 = 643.46/x
  3. Step 3: Cross multiply
    1,140.84x = 1,574.46 × 643.46
  4. Step 4: Simplify right side
    1,140.84x = 1,013,094.16
  5. Step 5: Solve for x
    x = 1,013,094.16/1,140.84
  6. Step 6: Final answer
    x = 888.02

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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.