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Finding the Fourth Proportional to 1,076.50, 1,485.58 and 610.76

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Solution

The fourth proportional to 1,076.50, 1,485.58 and 610.76 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.50 : 1,485.58 = 610.76 : x
  2. Step 2: Convert to fraction form
    1,076.50/1,485.58 = 610.76/x
  3. Step 3: Cross multiply
    1,076.50x = 1,485.58 × 610.76
  4. Step 4: Simplify right side
    1,076.50x = 907,332.84
  5. Step 5: Solve for x
    x = 907,332.84/1,076.50
  6. Step 6: Final answer
    x = 842.85

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Double scale
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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.