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Finding the Fourth Proportional to 1,137.27, 1,569.57 and 695.13

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Solution

The fourth proportional to 1,137.27, 1,569.57 and 695.13 is: 959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.27 : 1,569.57 = 695.13 : x
  2. Step 2: Convert to fraction form
    1,137.27/1,569.57 = 695.13/x
  3. Step 3: Cross multiply
    1,137.27x = 1,569.57 × 695.13
  4. Step 4: Simplify right side
    1,137.27x = 1,091,055.19
  5. Step 5: Solve for x
    x = 1,091,055.19/1,137.27
  6. Step 6: Final answer
    x = 959.36

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Half scale
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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.