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Finding the Fourth Proportional to 896.69, 1,237.29 and 498.34

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Solution

The fourth proportional to 896.69, 1,237.29 and 498.34 is: 687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.69 : 1,237.29 = 498.34 : x
  2. Step 2: Convert to fraction form
    896.69/1,237.29 = 498.34/x
  3. Step 3: Cross multiply
    896.69x = 1,237.29 × 498.34
  4. Step 4: Simplify right side
    896.69x = 616,591.10
  5. Step 5: Solve for x
    x = 616,591.10/896.69
  6. Step 6: Final answer
    x = 687.63

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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.