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Finding the Fourth Proportional to 687.09, 947.38 and 500.66

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Solution

The fourth proportional to 687.09, 947.38 and 500.66 is: 690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.09 : 947.38 = 500.66 : x
  2. Step 2: Convert to fraction form
    687.09/947.38 = 500.66/x
  3. Step 3: Cross multiply
    687.09x = 947.38 × 500.66
  4. Step 4: Simplify right side
    687.09x = 474,312.77
  5. Step 5: Solve for x
    x = 474,312.77/687.09
  6. Step 6: Final answer
    x = 690.33

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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.