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Finding the Fourth Proportional to 647.32, 965.40 and 585.04

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Solution

The fourth proportional to 647.32, 965.40 and 585.04 is: 872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.32 : 965.40 = 585.04 : x
  2. Step 2: Convert to fraction form
    647.32/965.40 = 585.04/x
  3. Step 3: Cross multiply
    647.32x = 965.40 × 585.04
  4. Step 4: Simplify right side
    647.32x = 564,797.40
  5. Step 5: Solve for x
    x = 564,797.40/647.32
  6. Step 6: Final answer
    x = 872.52

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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.