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Finding the Fourth Proportional to 973.25, 1,342.29 and 707.70

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Solution

The fourth proportional to 973.25, 1,342.29 and 707.70 is: 976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.25 : 1,342.29 = 707.70 : x
  2. Step 2: Convert to fraction form
    973.25/1,342.29 = 707.70/x
  3. Step 3: Cross multiply
    973.25x = 1,342.29 × 707.70
  4. Step 4: Simplify right side
    973.25x = 949,942.34
  5. Step 5: Solve for x
    x = 949,942.34/973.25
  6. Step 6: Final answer
    x = 976.05

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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.