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Finding the Fourth Proportional to 947.01, 1,417.77 and 702.36

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Solution

The fourth proportional to 947.01, 1,417.77 and 702.36 is: 1,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,417.77 = 702.36 : x
  2. Step 2: Convert to fraction form
    947.01/1,417.77 = 702.36/x
  3. Step 3: Cross multiply
    947.01x = 1,417.77 × 702.36
  4. Step 4: Simplify right side
    947.01x = 995,784.94
  5. Step 5: Solve for x
    x = 995,784.94/947.01
  6. Step 6: Final answer
    x = 1,051.50

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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.