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Finding the Fourth Proportional to 677.80, 1,012.07 and 556.30

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Solution

The fourth proportional to 677.80, 1,012.07 and 556.30 is: 830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.80 : 1,012.07 = 556.30 : x
  2. Step 2: Convert to fraction form
    677.80/1,012.07 = 556.30/x
  3. Step 3: Cross multiply
    677.80x = 1,012.07 × 556.30
  4. Step 4: Simplify right side
    677.80x = 563,014.54
  5. Step 5: Solve for x
    x = 563,014.54/677.80
  6. Step 6: Final answer
    x = 830.65

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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.