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Finding the Fourth Proportional to 739.08, 1,019.93 and 407.50

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Solution

The fourth proportional to 739.08, 1,019.93 and 407.50 is: 562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.08 : 1,019.93 = 407.50 : x
  2. Step 2: Convert to fraction form
    739.08/1,019.93 = 407.50/x
  3. Step 3: Cross multiply
    739.08x = 1,019.93 × 407.50
  4. Step 4: Simplify right side
    739.08x = 415,621.48
  5. Step 5: Solve for x
    x = 415,621.48/739.08
  6. Step 6: Final answer
    x = 562.35

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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.