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Finding the Fourth Proportional to 866.15, 1,298.58 and 345.72

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Solution

The fourth proportional to 866.15, 1,298.58 and 345.72 is: 518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.15 : 1,298.58 = 345.72 : x
  2. Step 2: Convert to fraction form
    866.15/1,298.58 = 345.72/x
  3. Step 3: Cross multiply
    866.15x = 1,298.58 × 345.72
  4. Step 4: Simplify right side
    866.15x = 448,945.08
  5. Step 5: Solve for x
    x = 448,945.08/866.15
  6. Step 6: Final answer
    x = 518.32

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.