Home / 1,588.02-2,191.44-870.20

Finding the Fourth Proportional to 1,588.02, 2,191.44 and 870.20

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Solution

The fourth proportional to 1,588.02, 2,191.44 and 870.20 is: 1,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.02 : 2,191.44 = 870.20 : x
  2. Step 2: Convert to fraction form
    1,588.02/2,191.44 = 870.20/x
  3. Step 3: Cross multiply
    1,588.02x = 2,191.44 × 870.20
  4. Step 4: Simplify right side
    1,588.02x = 1,906,980.13
  5. Step 5: Solve for x
    x = 1,906,980.13/1,588.02
  6. Step 6: Final answer
    x = 1,200.85

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1.5x scale

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.