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Finding the Fourth Proportional to 774.30, 1,157.40 and 577.46

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Solution

The fourth proportional to 774.30, 1,157.40 and 577.46 is: 863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.30 : 1,157.40 = 577.46 : x
  2. Step 2: Convert to fraction form
    774.30/1,157.40 = 577.46/x
  3. Step 3: Cross multiply
    774.30x = 1,157.40 × 577.46
  4. Step 4: Simplify right side
    774.30x = 668,352.20
  5. Step 5: Solve for x
    x = 668,352.20/774.30
  6. Step 6: Final answer
    x = 863.17

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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.