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Finding the Fourth Proportional to 977.86, 1,349.40 and 584.64

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Solution

The fourth proportional to 977.86, 1,349.40 and 584.64 is: 806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.86 : 1,349.40 = 584.64 : x
  2. Step 2: Convert to fraction form
    977.86/1,349.40 = 584.64/x
  3. Step 3: Cross multiply
    977.86x = 1,349.40 × 584.64
  4. Step 4: Simplify right side
    977.86x = 788,913.22
  5. Step 5: Solve for x
    x = 788,913.22/977.86
  6. Step 6: Final answer
    x = 806.78

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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.