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Finding the Fourth Proportional to 686.83, 948.63 and 520.75

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Solution

The fourth proportional to 686.83, 948.63 and 520.75 is: 719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.83 : 948.63 = 520.75 : x
  2. Step 2: Convert to fraction form
    686.83/948.63 = 520.75/x
  3. Step 3: Cross multiply
    686.83x = 948.63 × 520.75
  4. Step 4: Simplify right side
    686.83x = 493,999.07
  5. Step 5: Solve for x
    x = 493,999.07/686.83
  6. Step 6: Final answer
    x = 719.25

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Double scale
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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.