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Finding the Fourth Proportional to 520.58, 717.72 and 455.06

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Solution

The fourth proportional to 520.58, 717.72 and 455.06 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.58 : 717.72 = 455.06 : x
  2. Step 2: Convert to fraction form
    520.58/717.72 = 455.06/x
  3. Step 3: Cross multiply
    520.58x = 717.72 × 455.06
  4. Step 4: Simplify right side
    520.58x = 326,605.66
  5. Step 5: Solve for x
    x = 326,605.66/520.58
  6. Step 6: Final answer
    x = 627.39

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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.