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Finding the Fourth Proportional to 1,140.67, 1,574.08 and 636.50

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Solution

The fourth proportional to 1,140.67, 1,574.08 and 636.50 is: 878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.67 : 1,574.08 = 636.50 : x
  2. Step 2: Convert to fraction form
    1,140.67/1,574.08 = 636.50/x
  3. Step 3: Cross multiply
    1,140.67x = 1,574.08 × 636.50
  4. Step 4: Simplify right side
    1,140.67x = 1,001,892.46
  5. Step 5: Solve for x
    x = 1,001,892.46/1,140.67
  6. Step 6: Final answer
    x = 878.34

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1.5x scale

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.