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Finding the Fourth Proportional to 917.42, 1,368.70 and 842.16

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Solution

The fourth proportional to 917.42, 1,368.70 and 842.16 is: 1,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,368.70 = 842.16 : x
  2. Step 2: Convert to fraction form
    917.42/1,368.70 = 842.16/x
  3. Step 3: Cross multiply
    917.42x = 1,368.70 × 842.16
  4. Step 4: Simplify right side
    917.42x = 1,152,660.18
  5. Step 5: Solve for x
    x = 1,152,660.18/917.42
  6. Step 6: Final answer
    x = 1,256.41

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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.