Home / 1,742.19-2,611.63-587.13

Finding the Fourth Proportional to 1,742.19, 2,611.63 and 587.13

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Solution

The fourth proportional to 1,742.19, 2,611.63 and 587.13 is: 880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.19 : 2,611.63 = 587.13 : x
  2. Step 2: Convert to fraction form
    1,742.19/2,611.63 = 587.13/x
  3. Step 3: Cross multiply
    1,742.19x = 2,611.63 × 587.13
  4. Step 4: Simplify right side
    1,742.19x = 1,533,366.32
  5. Step 5: Solve for x
    x = 1,533,366.32/1,742.19
  6. Step 6: Final answer
    x = 880.14

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1.5x scale

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.