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Finding the Fourth Proportional to 647.86, 970.89 and 473.50

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Solution

The fourth proportional to 647.86, 970.89 and 473.50 is: 709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 970.89 = 473.50 : x
  2. Step 2: Convert to fraction form
    647.86/970.89 = 473.50/x
  3. Step 3: Cross multiply
    647.86x = 970.89 × 473.50
  4. Step 4: Simplify right side
    647.86x = 459,716.42
  5. Step 5: Solve for x
    x = 459,716.42/647.86
  6. Step 6: Final answer
    x = 709.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.