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Finding the Fourth Proportional to 829.47, 1,144.02 and 705.54

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Solution

The fourth proportional to 829.47, 1,144.02 and 705.54 is: 973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.47 : 1,144.02 = 705.54 : x
  2. Step 2: Convert to fraction form
    829.47/1,144.02 = 705.54/x
  3. Step 3: Cross multiply
    829.47x = 1,144.02 × 705.54
  4. Step 4: Simplify right side
    829.47x = 807,151.87
  5. Step 5: Solve for x
    x = 807,151.87/829.47
  6. Step 6: Final answer
    x = 973.09

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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.