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Finding the Fourth Proportional to 514.85, 710.65 and 445.65

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Solution

The fourth proportional to 514.85, 710.65 and 445.65 is: 615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.85 : 710.65 = 445.65 : x
  2. Step 2: Convert to fraction form
    514.85/710.65 = 445.65/x
  3. Step 3: Cross multiply
    514.85x = 710.65 × 445.65
  4. Step 4: Simplify right side
    514.85x = 316,698.94
  5. Step 5: Solve for x
    x = 316,698.94/514.85
  6. Step 6: Final answer
    x = 615.13

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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.