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Finding the Fourth Proportional to 897.71, 1,238.81 and 499.37

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Solution

The fourth proportional to 897.71, 1,238.81 and 499.37 is: 689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.71 : 1,238.81 = 499.37 : x
  2. Step 2: Convert to fraction form
    897.71/1,238.81 = 499.37/x
  3. Step 3: Cross multiply
    897.71x = 1,238.81 × 499.37
  4. Step 4: Simplify right side
    897.71x = 618,622.05
  5. Step 5: Solve for x
    x = 618,622.05/897.71
  6. Step 6: Final answer
    x = 689.11

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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.