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Finding the Fourth Proportional to 777.78, 1,165.59 and 388.08

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Solution

The fourth proportional to 777.78, 1,165.59 and 388.08 is: 581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.78 : 1,165.59 = 388.08 : x
  2. Step 2: Convert to fraction form
    777.78/1,165.59 = 388.08/x
  3. Step 3: Cross multiply
    777.78x = 1,165.59 × 388.08
  4. Step 4: Simplify right side
    777.78x = 452,342.17
  5. Step 5: Solve for x
    x = 452,342.17/777.78
  6. Step 6: Final answer
    x = 581.58

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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.