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Finding the Fourth Proportional to 949.06, 1,420.08 and 577.54

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Solution

The fourth proportional to 949.06, 1,420.08 and 577.54 is: 864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.06 : 1,420.08 = 577.54 : x
  2. Step 2: Convert to fraction form
    949.06/1,420.08 = 577.54/x
  3. Step 3: Cross multiply
    949.06x = 1,420.08 × 577.54
  4. Step 4: Simplify right side
    949.06x = 820,153.00
  5. Step 5: Solve for x
    x = 820,153.00/949.06
  6. Step 6: Final answer
    x = 864.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.