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Finding the Fourth Proportional to 647.94, 967.45 and 586.38

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Solution

The fourth proportional to 647.94, 967.45 and 586.38 is: 875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 967.45 = 586.38 : x
  2. Step 2: Convert to fraction form
    647.94/967.45 = 586.38/x
  3. Step 3: Cross multiply
    647.94x = 967.45 × 586.38
  4. Step 4: Simplify right side
    647.94x = 567,291.87
  5. Step 5: Solve for x
    x = 567,291.87/647.94
  6. Step 6: Final answer
    x = 875.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.