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Finding the Fourth Proportional to 707.98, 977.49 and 541.90

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Solution

The fourth proportional to 707.98, 977.49 and 541.90 is: 748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.98 : 977.49 = 541.90 : x
  2. Step 2: Convert to fraction form
    707.98/977.49 = 541.90/x
  3. Step 3: Cross multiply
    707.98x = 977.49 × 541.90
  4. Step 4: Simplify right side
    707.98x = 529,699.39
  5. Step 5: Solve for x
    x = 529,699.39/707.98
  6. Step 6: Final answer
    x = 748.18

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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.