Home / 1,501.23-2,251.47-770.22

Finding the Fourth Proportional to 1,501.23, 2,251.47 and 770.22

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Solution

The fourth proportional to 1,501.23, 2,251.47 and 770.22 is: 1,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.23 : 2,251.47 = 770.22 : x
  2. Step 2: Convert to fraction form
    1,501.23/2,251.47 = 770.22/x
  3. Step 3: Cross multiply
    1,501.23x = 2,251.47 × 770.22
  4. Step 4: Simplify right side
    1,501.23x = 1,734,127.22
  5. Step 5: Solve for x
    x = 1,734,127.22/1,501.23
  6. Step 6: Final answer
    x = 1,155.14

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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.