Home / 1,230.02-1,697.31-705.98

Finding the Fourth Proportional to 1,230.02, 1,697.31 and 705.98

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Solution

The fourth proportional to 1,230.02, 1,697.31 and 705.98 is: 974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.02 : 1,697.31 = 705.98 : x
  2. Step 2: Convert to fraction form
    1,230.02/1,697.31 = 705.98/x
  3. Step 3: Cross multiply
    1,230.02x = 1,697.31 × 705.98
  4. Step 4: Simplify right side
    1,230.02x = 1,198,266.91
  5. Step 5: Solve for x
    x = 1,198,266.91/1,230.02
  6. Step 6: Final answer
    x = 974.18

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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.