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Finding the Fourth Proportional to 728.99, 1,006.10 and 434.25

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Solution

The fourth proportional to 728.99, 1,006.10 and 434.25 is: 599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.99 : 1,006.10 = 434.25 : x
  2. Step 2: Convert to fraction form
    728.99/1,006.10 = 434.25/x
  3. Step 3: Cross multiply
    728.99x = 1,006.10 × 434.25
  4. Step 4: Simplify right side
    728.99x = 436,896.75
  5. Step 5: Solve for x
    x = 436,896.75/728.99
  6. Step 6: Final answer
    x = 599.32

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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.