Home / 1,226.02-1,690.50-977.34

Finding the Fourth Proportional to 1,226.02, 1,690.50 and 977.34

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Solution

The fourth proportional to 1,226.02, 1,690.50 and 977.34 is: 1,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.02 : 1,690.50 = 977.34 : x
  2. Step 2: Convert to fraction form
    1,226.02/1,690.50 = 977.34/x
  3. Step 3: Cross multiply
    1,226.02x = 1,690.50 × 977.34
  4. Step 4: Simplify right side
    1,226.02x = 1,652,193.27
  5. Step 5: Solve for x
    x = 1,652,193.27/1,226.02
  6. Step 6: Final answer
    x = 1,347.61

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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.