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Finding the Fourth Proportional to 1,393.32, 2,090.56 and 777.45

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Solution

The fourth proportional to 1,393.32, 2,090.56 and 777.45 is: 1,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.32 : 2,090.56 = 777.45 : x
  2. Step 2: Convert to fraction form
    1,393.32/2,090.56 = 777.45/x
  3. Step 3: Cross multiply
    1,393.32x = 2,090.56 × 777.45
  4. Step 4: Simplify right side
    1,393.32x = 1,625,305.87
  5. Step 5: Solve for x
    x = 1,625,305.87/1,393.32
  6. Step 6: Final answer
    x = 1,166.50

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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.