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Finding the Fourth Proportional to 941.12, 1,299.12 and 592.32

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Solution

The fourth proportional to 941.12, 1,299.12 and 592.32 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.12 : 1,299.12 = 592.32 : x
  2. Step 2: Convert to fraction form
    941.12/1,299.12 = 592.32/x
  3. Step 3: Cross multiply
    941.12x = 1,299.12 × 592.32
  4. Step 4: Simplify right side
    941.12x = 769,494.76
  5. Step 5: Solve for x
    x = 769,494.76/941.12
  6. Step 6: Final answer
    x = 817.64

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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.