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Finding the Fourth Proportional to 801.24, 1,193.58 and 777.06

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Solution

The fourth proportional to 801.24, 1,193.58 and 777.06 is: 1,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.24 : 1,193.58 = 777.06 : x
  2. Step 2: Convert to fraction form
    801.24/1,193.58 = 777.06/x
  3. Step 3: Cross multiply
    801.24x = 1,193.58 × 777.06
  4. Step 4: Simplify right side
    801.24x = 927,483.27
  5. Step 5: Solve for x
    x = 927,483.27/801.24
  6. Step 6: Final answer
    x = 1,157.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.