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Finding the Fourth Proportional to 647.19, 966.33 and 585.63

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Solution

The fourth proportional to 647.19, 966.33 and 585.63 is: 874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.19 : 966.33 = 585.63 : x
  2. Step 2: Convert to fraction form
    647.19/966.33 = 585.63/x
  3. Step 3: Cross multiply
    647.19x = 966.33 × 585.63
  4. Step 4: Simplify right side
    647.19x = 565,911.84
  5. Step 5: Solve for x
    x = 565,911.84/647.19
  6. Step 6: Final answer
    x = 874.41

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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.