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Finding the Fourth Proportional to 973.35, 1,342.98 and 930.83

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Solution

The fourth proportional to 973.35, 1,342.98 and 930.83 is: 1,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.35 : 1,342.98 = 930.83 : x
  2. Step 2: Convert to fraction form
    973.35/1,342.98 = 930.83/x
  3. Step 3: Cross multiply
    973.35x = 1,342.98 × 930.83
  4. Step 4: Simplify right side
    973.35x = 1,250,079.36
  5. Step 5: Solve for x
    x = 1,250,079.36/973.35
  6. Step 6: Final answer
    x = 1,284.31

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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.