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Finding the Fourth Proportional to 941.08, 1,297.80 and 707.80

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Solution

The fourth proportional to 941.08, 1,297.80 and 707.80 is: 976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.08 : 1,297.80 = 707.80 : x
  2. Step 2: Convert to fraction form
    941.08/1,297.80 = 707.80/x
  3. Step 3: Cross multiply
    941.08x = 1,297.80 × 707.80
  4. Step 4: Simplify right side
    941.08x = 918,582.84
  5. Step 5: Solve for x
    x = 918,582.84/941.08
  6. Step 6: Final answer
    x = 976.09

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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.