Home / 1,564.29-2,158.80-901.17

Finding the Fourth Proportional to 1,564.29, 2,158.80 and 901.17

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Solution

The fourth proportional to 1,564.29, 2,158.80 and 901.17 is: 1,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.29 : 2,158.80 = 901.17 : x
  2. Step 2: Convert to fraction form
    1,564.29/2,158.80 = 901.17/x
  3. Step 3: Cross multiply
    1,564.29x = 2,158.80 × 901.17
  4. Step 4: Simplify right side
    1,564.29x = 1,945,445.80
  5. Step 5: Solve for x
    x = 1,945,445.80/1,564.29
  6. Step 6: Final answer
    x = 1,243.66

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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.