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Finding the Fourth Proportional to 917.19, 1,382.98 and 840.65

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Solution

The fourth proportional to 917.19, 1,382.98 and 840.65 is: 1,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.19 : 1,382.98 = 840.65 : x
  2. Step 2: Convert to fraction form
    917.19/1,382.98 = 840.65/x
  3. Step 3: Cross multiply
    917.19x = 1,382.98 × 840.65
  4. Step 4: Simplify right side
    917.19x = 1,162,602.14
  5. Step 5: Solve for x
    x = 1,162,602.14/917.19
  6. Step 6: Final answer
    x = 1,267.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.