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Finding the Fourth Proportional to 714.65, 1,069.74 and 541.98

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Solution

The fourth proportional to 714.65, 1,069.74 and 541.98 is: 811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.65 : 1,069.74 = 541.98 : x
  2. Step 2: Convert to fraction form
    714.65/1,069.74 = 541.98/x
  3. Step 3: Cross multiply
    714.65x = 1,069.74 × 541.98
  4. Step 4: Simplify right side
    714.65x = 579,777.69
  5. Step 5: Solve for x
    x = 579,777.69/714.65
  6. Step 6: Final answer
    x = 811.28

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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.