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Finding the Fourth Proportional to 1,649.76, 2,472.80 and 782.25

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Solution

The fourth proportional to 1,649.76, 2,472.80 and 782.25 is: 1,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.76 : 2,472.80 = 782.25 : x
  2. Step 2: Convert to fraction form
    1,649.76/2,472.80 = 782.25/x
  3. Step 3: Cross multiply
    1,649.76x = 2,472.80 × 782.25
  4. Step 4: Simplify right side
    1,649.76x = 1,934,343.89
  5. Step 5: Solve for x
    x = 1,934,343.89/1,649.76
  6. Step 6: Final answer
    x = 1,172.50

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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.