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Finding the Fourth Proportional to 904.02, 1,243.53 and 772.80

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Solution

The fourth proportional to 904.02, 1,243.53 and 772.80 is: 1,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.02 : 1,243.53 = 772.80 : x
  2. Step 2: Convert to fraction form
    904.02/1,243.53 = 772.80/x
  3. Step 3: Cross multiply
    904.02x = 1,243.53 × 772.80
  4. Step 4: Simplify right side
    904.02x = 960,999.98
  5. Step 5: Solve for x
    x = 960,999.98/904.02
  6. Step 6: Final answer
    x = 1,063.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.