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Finding the Fourth Proportional to 941.76, 1,298.24 and 708.48

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Solution

The fourth proportional to 941.76, 1,298.24 and 708.48 is: 976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.76 : 1,298.24 = 708.48 : x
  2. Step 2: Convert to fraction form
    941.76/1,298.24 = 708.48/x
  3. Step 3: Cross multiply
    941.76x = 1,298.24 × 708.48
  4. Step 4: Simplify right side
    941.76x = 919,777.08
  5. Step 5: Solve for x
    x = 919,777.08/941.76
  6. Step 6: Final answer
    x = 976.66

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1.5x scale

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.