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Finding the Fourth Proportional to 508.60, 700.41 and 497.80

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Solution

The fourth proportional to 508.60, 700.41 and 497.80 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.60 : 700.41 = 497.80 : x
  2. Step 2: Convert to fraction form
    508.60/700.41 = 497.80/x
  3. Step 3: Cross multiply
    508.60x = 700.41 × 497.80
  4. Step 4: Simplify right side
    508.60x = 348,664.10
  5. Step 5: Solve for x
    x = 348,664.10/508.60
  6. Step 6: Final answer
    x = 685.54

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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.