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Finding the Fourth Proportional to 586.63, 809.47 and 498.47

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Solution

The fourth proportional to 586.63, 809.47 and 498.47 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.63 : 809.47 = 498.47 : x
  2. Step 2: Convert to fraction form
    586.63/809.47 = 498.47/x
  3. Step 3: Cross multiply
    586.63x = 809.47 × 498.47
  4. Step 4: Simplify right side
    586.63x = 403,496.51
  5. Step 5: Solve for x
    x = 403,496.51/586.63
  6. Step 6: Final answer
    x = 687.82

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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.