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Finding the Fourth Proportional to 922.46, 1,271.84 and 774.77

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Solution

The fourth proportional to 922.46, 1,271.84 and 774.77 is: 1,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.46 : 1,271.84 = 774.77 : x
  2. Step 2: Convert to fraction form
    922.46/1,271.84 = 774.77/x
  3. Step 3: Cross multiply
    922.46x = 1,271.84 × 774.77
  4. Step 4: Simplify right side
    922.46x = 985,373.24
  5. Step 5: Solve for x
    x = 985,373.24/922.46
  6. Step 6: Final answer
    x = 1,068.21

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1.5x scale

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.