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Finding the Fourth Proportional to 941.40, 1,410.59 and 575.09

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Solution

The fourth proportional to 941.40, 1,410.59 and 575.09 is: 861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,410.59 = 575.09 : x
  2. Step 2: Convert to fraction form
    941.40/1,410.59 = 575.09/x
  3. Step 3: Cross multiply
    941.40x = 1,410.59 × 575.09
  4. Step 4: Simplify right side
    941.40x = 811,206.27
  5. Step 5: Solve for x
    x = 811,206.27/941.40
  6. Step 6: Final answer
    x = 861.70

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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.