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Finding the Fourth Proportional to 521.55, 718.90 and 410.85

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Solution

The fourth proportional to 521.55, 718.90 and 410.85 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.55 : 718.90 = 410.85 : x
  2. Step 2: Convert to fraction form
    521.55/718.90 = 410.85/x
  3. Step 3: Cross multiply
    521.55x = 718.90 × 410.85
  4. Step 4: Simplify right side
    521.55x = 295,360.07
  5. Step 5: Solve for x
    x = 295,360.07/521.55
  6. Step 6: Final answer
    x = 566.31

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1.5x scale

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.