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Finding the Fourth Proportional to 739.02, 1,019.80 and 424.26

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Solution

The fourth proportional to 739.02, 1,019.80 and 424.26 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,019.80 = 424.26 : x
  2. Step 2: Convert to fraction form
    739.02/1,019.80 = 424.26/x
  3. Step 3: Cross multiply
    739.02x = 1,019.80 × 424.26
  4. Step 4: Simplify right side
    739.02x = 432,660.35
  5. Step 5: Solve for x
    x = 432,660.35/739.02
  6. Step 6: Final answer
    x = 585.45

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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.