Home / 1,297.42-1,790.28-947.50

Finding the Fourth Proportional to 1,297.42, 1,790.28 and 947.50

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Solution

The fourth proportional to 1,297.42, 1,790.28 and 947.50 is: 1,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.42 : 1,790.28 = 947.50 : x
  2. Step 2: Convert to fraction form
    1,297.42/1,790.28 = 947.50/x
  3. Step 3: Cross multiply
    1,297.42x = 1,790.28 × 947.50
  4. Step 4: Simplify right side
    1,297.42x = 1,696,290.30
  5. Step 5: Solve for x
    x = 1,696,290.30/1,297.42
  6. Step 6: Final answer
    x = 1,307.43

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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.