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Finding the Fourth Proportional to 686.86, 947.23 and 607.89

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Solution

The fourth proportional to 686.86, 947.23 and 607.89 is: 838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.86 : 947.23 = 607.89 : x
  2. Step 2: Convert to fraction form
    686.86/947.23 = 607.89/x
  3. Step 3: Cross multiply
    686.86x = 947.23 × 607.89
  4. Step 4: Simplify right side
    686.86x = 575,811.64
  5. Step 5: Solve for x
    x = 575,811.64/686.86
  6. Step 6: Final answer
    x = 838.32

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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.