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Finding the Fourth Proportional to 1,480.22, 2,220.43 and 507

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Solution

The fourth proportional to 1,480.22, 2,220.43 and 507 is: 760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.22 : 2,220.43 = 507 : x
  2. Step 2: Convert to fraction form
    1,480.22/2,220.43 = 507/x
  3. Step 3: Cross multiply
    1,480.22x = 2,220.43 × 507
  4. Step 4: Simplify right side
    1,480.22x = 1,125,758.01
  5. Step 5: Solve for x
    x = 1,125,758.01/1,480.22
  6. Step 6: Final answer
    x = 760.53

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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.