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Finding the Fourth Proportional to 686.30, 947.00 and 437.51

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Solution

The fourth proportional to 686.30, 947.00 and 437.51 is: 603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.30 : 947.00 = 437.51 : x
  2. Step 2: Convert to fraction form
    686.30/947.00 = 437.51/x
  3. Step 3: Cross multiply
    686.30x = 947.00 × 437.51
  4. Step 4: Simplify right side
    686.30x = 414,325.43
  5. Step 5: Solve for x
    x = 414,325.43/686.30
  6. Step 6: Final answer
    x = 603.71

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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.