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Finding the Fourth Proportional to 1,009.56, 1,393.50 and 616.76

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Solution

The fourth proportional to 1,009.56, 1,393.50 and 616.76 is: 851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.56 : 1,393.50 = 616.76 : x
  2. Step 2: Convert to fraction form
    1,009.56/1,393.50 = 616.76/x
  3. Step 3: Cross multiply
    1,009.56x = 1,393.50 × 616.76
  4. Step 4: Simplify right side
    1,009.56x = 859,455.06
  5. Step 5: Solve for x
    x = 859,455.06/1,009.56
  6. Step 6: Final answer
    x = 851.32

Related Problems

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Half scale
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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.