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Finding the Fourth Proportional to 507, 701.10 and 484.08

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Solution

The fourth proportional to 507, 701.10 and 484.08 is: 669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 701.10 = 484.08 : x
  2. Step 2: Convert to fraction form
    507/701.10 = 484.08/x
  3. Step 3: Cross multiply
    507x = 701.10 × 484.08
  4. Step 4: Simplify right side
    507x = 339,388.49
  5. Step 5: Solve for x
    x = 339,388.49/507
  6. Step 6: Final answer
    x = 669.41

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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.