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Finding the Fourth Proportional to 1,036.10, 1,429.85 and 564.03

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Solution

The fourth proportional to 1,036.10, 1,429.85 and 564.03 is: 778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.10 : 1,429.85 = 564.03 : x
  2. Step 2: Convert to fraction form
    1,036.10/1,429.85 = 564.03/x
  3. Step 3: Cross multiply
    1,036.10x = 1,429.85 × 564.03
  4. Step 4: Simplify right side
    1,036.10x = 806,478.30
  5. Step 5: Solve for x
    x = 806,478.30/1,036.10
  6. Step 6: Final answer
    x = 778.38

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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.