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Finding the Fourth Proportional to 929.70, 1,281.63 and 708.27

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Solution

The fourth proportional to 929.70, 1,281.63 and 708.27 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.70 : 1,281.63 = 708.27 : x
  2. Step 2: Convert to fraction form
    929.70/1,281.63 = 708.27/x
  3. Step 3: Cross multiply
    929.70x = 1,281.63 × 708.27
  4. Step 4: Simplify right side
    929.70x = 907,740.08
  5. Step 5: Solve for x
    x = 907,740.08/929.70
  6. Step 6: Final answer
    x = 976.38

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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.