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Finding the Fourth Proportional to 686.16, 947.58 and 587.34

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Solution

The fourth proportional to 686.16, 947.58 and 587.34 is: 811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 947.58 = 587.34 : x
  2. Step 2: Convert to fraction form
    686.16/947.58 = 587.34/x
  3. Step 3: Cross multiply
    686.16x = 947.58 × 587.34
  4. Step 4: Simplify right side
    686.16x = 556,551.64
  5. Step 5: Solve for x
    x = 556,551.64/686.16
  6. Step 6: Final answer
    x = 811.11

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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.