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Finding the Fourth Proportional to 521.06, 717.53 and 465.77

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Solution

The fourth proportional to 521.06, 717.53 and 465.77 is: 641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 717.53 = 465.77 : x
  2. Step 2: Convert to fraction form
    521.06/717.53 = 465.77/x
  3. Step 3: Cross multiply
    521.06x = 717.53 × 465.77
  4. Step 4: Simplify right side
    521.06x = 334,203.41
  5. Step 5: Solve for x
    x = 334,203.41/521.06
  6. Step 6: Final answer
    x = 641.40

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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.