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Finding the Fourth Proportional to 1,225.50, 1,839.60 and 649.59

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Solution

The fourth proportional to 1,225.50, 1,839.60 and 649.59 is: 975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.50 : 1,839.60 = 649.59 : x
  2. Step 2: Convert to fraction form
    1,225.50/1,839.60 = 649.59/x
  3. Step 3: Cross multiply
    1,225.50x = 1,839.60 × 649.59
  4. Step 4: Simplify right side
    1,225.50x = 1,194,985.76
  5. Step 5: Solve for x
    x = 1,194,985.76/1,225.50
  6. Step 6: Final answer
    x = 975.10

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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.