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Finding the Fourth Proportional to 521.59, 719.58 and 364.25

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Solution

The fourth proportional to 521.59, 719.58 and 364.25 is: 502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.59 : 719.58 = 364.25 : x
  2. Step 2: Convert to fraction form
    521.59/719.58 = 364.25/x
  3. Step 3: Cross multiply
    521.59x = 719.58 × 364.25
  4. Step 4: Simplify right side
    521.59x = 262,106.13
  5. Step 5: Solve for x
    x = 262,106.13/521.59
  6. Step 6: Final answer
    x = 502.51

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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.