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Finding the Fourth Proportional to 1,140.29, 1,573.51 and 767.21

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Solution

The fourth proportional to 1,140.29, 1,573.51 and 767.21 is: 1,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.29 : 1,573.51 = 767.21 : x
  2. Step 2: Convert to fraction form
    1,140.29/1,573.51 = 767.21/x
  3. Step 3: Cross multiply
    1,140.29x = 1,573.51 × 767.21
  4. Step 4: Simplify right side
    1,140.29x = 1,207,208.77
  5. Step 5: Solve for x
    x = 1,207,208.77/1,140.29
  6. Step 6: Final answer
    x = 1,058.69

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Double scale
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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.