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Finding the Fourth Proportional to 1,135.31, 1,567.31 and 785.39

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Solution

The fourth proportional to 1,135.31, 1,567.31 and 785.39 is: 1,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.31 : 1,567.31 = 785.39 : x
  2. Step 2: Convert to fraction form
    1,135.31/1,567.31 = 785.39/x
  3. Step 3: Cross multiply
    1,135.31x = 1,567.31 × 785.39
  4. Step 4: Simplify right side
    1,135.31x = 1,230,937.84
  5. Step 5: Solve for x
    x = 1,230,937.84/1,135.31
  6. Step 6: Final answer
    x = 1,084.24

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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.