Home / 1,132.18-1,698.57-474.10

Finding the Fourth Proportional to 1,132.18, 1,698.57 and 474.10

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Solution

The fourth proportional to 1,132.18, 1,698.57 and 474.10 is: 711.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.18 : 1,698.57 = 474.10 : x
  2. Step 2: Convert to fraction form
    1,132.18/1,698.57 = 474.10/x
  3. Step 3: Cross multiply
    1,132.18x = 1,698.57 × 474.10
  4. Step 4: Simplify right side
    1,132.18x = 805,297.35
  5. Step 5: Solve for x
    x = 805,297.35/1,132.18
  6. Step 6: Final answer
    x = 711.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.