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Finding the Fourth Proportional to 1,035.65, 1,429.19 and 569.90

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Solution

The fourth proportional to 1,035.65, 1,429.19 and 569.90 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.65 : 1,429.19 = 569.90 : x
  2. Step 2: Convert to fraction form
    1,035.65/1,429.19 = 569.90/x
  3. Step 3: Cross multiply
    1,035.65x = 1,429.19 × 569.90
  4. Step 4: Simplify right side
    1,035.65x = 814,488.24
  5. Step 5: Solve for x
    x = 814,488.24/1,035.65
  6. Step 6: Final answer
    x = 786.46

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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.