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Finding the Fourth Proportional to 879.51, 1,319.93 and 417.42

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Solution

The fourth proportional to 879.51, 1,319.93 and 417.42 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.51 : 1,319.93 = 417.42 : x
  2. Step 2: Convert to fraction form
    879.51/1,319.93 = 417.42/x
  3. Step 3: Cross multiply
    879.51x = 1,319.93 × 417.42
  4. Step 4: Simplify right side
    879.51x = 550,963.09
  5. Step 5: Solve for x
    x = 550,963.09/879.51
  6. Step 6: Final answer
    x = 626.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.