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Finding the Fourth Proportional to 647.09, 966.63 and 581.99

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Solution

The fourth proportional to 647.09, 966.63 and 581.99 is: 869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.09 : 966.63 = 581.99 : x
  2. Step 2: Convert to fraction form
    647.09/966.63 = 581.99/x
  3. Step 3: Cross multiply
    647.09x = 966.63 × 581.99
  4. Step 4: Simplify right side
    647.09x = 562,566.34
  5. Step 5: Solve for x
    x = 562,566.34/647.09
  6. Step 6: Final answer
    x = 869.38

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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.