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Finding the Fourth Proportional to 1,005.35, 1,387.37 and 563.33

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Solution

The fourth proportional to 1,005.35, 1,387.37 and 563.33 is: 777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.35 : 1,387.37 = 563.33 : x
  2. Step 2: Convert to fraction form
    1,005.35/1,387.37 = 563.33/x
  3. Step 3: Cross multiply
    1,005.35x = 1,387.37 × 563.33
  4. Step 4: Simplify right side
    1,005.35x = 781,552.02
  5. Step 5: Solve for x
    x = 781,552.02/1,005.35
  6. Step 6: Final answer
    x = 777.40

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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.