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Finding the Fourth Proportional to 646.56, 890.76 and 498.96

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Solution

The fourth proportional to 646.56, 890.76 and 498.96 is: 687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.56 : 890.76 = 498.96 : x
  2. Step 2: Convert to fraction form
    646.56/890.76 = 498.96/x
  3. Step 3: Cross multiply
    646.56x = 890.76 × 498.96
  4. Step 4: Simplify right side
    646.56x = 444,453.61
  5. Step 5: Solve for x
    x = 444,453.61/646.56
  6. Step 6: Final answer
    x = 687.41

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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.