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Finding the Fourth Proportional to 677.83, 1,014.30 and 661.63

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Solution

The fourth proportional to 677.83, 1,014.30 and 661.63 is: 990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.83 : 1,014.30 = 661.63 : x
  2. Step 2: Convert to fraction form
    677.83/1,014.30 = 661.63/x
  3. Step 3: Cross multiply
    677.83x = 1,014.30 × 661.63
  4. Step 4: Simplify right side
    677.83x = 671,091.31
  5. Step 5: Solve for x
    x = 671,091.31/677.83
  6. Step 6: Final answer
    x = 990.06

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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.