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Finding the Fourth Proportional to 571.24, 787.08 and 549.64

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Solution

The fourth proportional to 571.24, 787.08 and 549.64 is: 757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 787.08 = 549.64 : x
  2. Step 2: Convert to fraction form
    571.24/787.08 = 549.64/x
  3. Step 3: Cross multiply
    571.24x = 787.08 × 549.64
  4. Step 4: Simplify right side
    571.24x = 432,610.65
  5. Step 5: Solve for x
    x = 432,610.65/571.24
  6. Step 6: Final answer
    x = 757.32

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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.