Home / 1,501.50-2,252.24-461.49

Finding the Fourth Proportional to 1,501.50, 2,252.24 and 461.49

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Solution

The fourth proportional to 1,501.50, 2,252.24 and 461.49 is: 692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.50 : 2,252.24 = 461.49 : x
  2. Step 2: Convert to fraction form
    1,501.50/2,252.24 = 461.49/x
  3. Step 3: Cross multiply
    1,501.50x = 2,252.24 × 461.49
  4. Step 4: Simplify right side
    1,501.50x = 1,039,386.24
  5. Step 5: Solve for x
    x = 1,039,386.24/1,501.50
  6. Step 6: Final answer
    x = 692.23

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Half scale
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Double scale
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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.