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Finding the Fourth Proportional to 501.74, 690.27 and 385.10

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Solution

The fourth proportional to 501.74, 690.27 and 385.10 is: 529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 690.27 = 385.10 : x
  2. Step 2: Convert to fraction form
    501.74/690.27 = 385.10/x
  3. Step 3: Cross multiply
    501.74x = 690.27 × 385.10
  4. Step 4: Simplify right side
    501.74x = 265,822.98
  5. Step 5: Solve for x
    x = 265,822.98/501.74
  6. Step 6: Final answer
    x = 529.80

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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.