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Finding the Fourth Proportional to 947.07, 1,306.31 and 573.41

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Solution

The fourth proportional to 947.07, 1,306.31 and 573.41 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.07 : 1,306.31 = 573.41 : x
  2. Step 2: Convert to fraction form
    947.07/1,306.31 = 573.41/x
  3. Step 3: Cross multiply
    947.07x = 1,306.31 × 573.41
  4. Step 4: Simplify right side
    947.07x = 749,051.22
  5. Step 5: Solve for x
    x = 749,051.22/947.07
  6. Step 6: Final answer
    x = 790.91

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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.