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Finding the Fourth Proportional to 774.80, 1,157.28 and 558.24

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Solution

The fourth proportional to 774.80, 1,157.28 and 558.24 is: 833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.80 : 1,157.28 = 558.24 : x
  2. Step 2: Convert to fraction form
    774.80/1,157.28 = 558.24/x
  3. Step 3: Cross multiply
    774.80x = 1,157.28 × 558.24
  4. Step 4: Simplify right side
    774.80x = 646,039.99
  5. Step 5: Solve for x
    x = 646,039.99/774.80
  6. Step 6: Final answer
    x = 833.82

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1.5x scale

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.