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Finding the Fourth Proportional to 984.37, 1,357.72 and 647.86

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Solution

The fourth proportional to 984.37, 1,357.72 and 647.86 is: 893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.37 : 1,357.72 = 647.86 : x
  2. Step 2: Convert to fraction form
    984.37/1,357.72 = 647.86/x
  3. Step 3: Cross multiply
    984.37x = 1,357.72 × 647.86
  4. Step 4: Simplify right side
    984.37x = 879,612.48
  5. Step 5: Solve for x
    x = 879,612.48/984.37
  6. Step 6: Final answer
    x = 893.58

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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.