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Finding the Fourth Proportional to 907.70, 1,355.37 and 856.36

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Solution

The fourth proportional to 907.70, 1,355.37 and 856.36 is: 1,278.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.70 : 1,355.37 = 856.36 : x
  2. Step 2: Convert to fraction form
    907.70/1,355.37 = 856.36/x
  3. Step 3: Cross multiply
    907.70x = 1,355.37 × 856.36
  4. Step 4: Simplify right side
    907.70x = 1,160,680.37
  5. Step 5: Solve for x
    x = 1,160,680.37/907.70
  6. Step 6: Final answer
    x = 1,278.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.