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Finding the Fourth Proportional to 945.57, 1,409.91 and 929.19

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Solution

The fourth proportional to 945.57, 1,409.91 and 929.19 is: 1,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.57 : 1,409.91 = 929.19 : x
  2. Step 2: Convert to fraction form
    945.57/1,409.91 = 929.19/x
  3. Step 3: Cross multiply
    945.57x = 1,409.91 × 929.19
  4. Step 4: Simplify right side
    945.57x = 1,310,074.27
  5. Step 5: Solve for x
    x = 1,310,074.27/945.57
  6. Step 6: Final answer
    x = 1,385.49

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.