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Finding the Fourth Proportional to 1,035.54, 1,429.07 and 563.45

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Solution

The fourth proportional to 1,035.54, 1,429.07 and 563.45 is: 777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.54 : 1,429.07 = 563.45 : x
  2. Step 2: Convert to fraction form
    1,035.54/1,429.07 = 563.45/x
  3. Step 3: Cross multiply
    1,035.54x = 1,429.07 × 563.45
  4. Step 4: Simplify right side
    1,035.54x = 805,199.53
  5. Step 5: Solve for x
    x = 805,199.53/1,035.54
  6. Step 6: Final answer
    x = 777.56

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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.