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Finding the Fourth Proportional to 899.71, 1,347.44 and 703.33

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Solution

The fourth proportional to 899.71, 1,347.44 and 703.33 is: 1,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.71 : 1,347.44 = 703.33 : x
  2. Step 2: Convert to fraction form
    899.71/1,347.44 = 703.33/x
  3. Step 3: Cross multiply
    899.71x = 1,347.44 × 703.33
  4. Step 4: Simplify right side
    899.71x = 947,695.67
  5. Step 5: Solve for x
    x = 947,695.67/899.71
  6. Step 6: Final answer
    x = 1,053.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.