Home / 1,106.23-1,656.38-585.15

Finding the Fourth Proportional to 1,106.23, 1,656.38 and 585.15

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Solution

The fourth proportional to 1,106.23, 1,656.38 and 585.15 is: 876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.23 : 1,656.38 = 585.15 : x
  2. Step 2: Convert to fraction form
    1,106.23/1,656.38 = 585.15/x
  3. Step 3: Cross multiply
    1,106.23x = 1,656.38 × 585.15
  4. Step 4: Simplify right side
    1,106.23x = 969,230.76
  5. Step 5: Solve for x
    x = 969,230.76/1,106.23
  6. Step 6: Final answer
    x = 876.16

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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.