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Finding the Fourth Proportional to 647.40, 964.86 and 646.37

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Solution

The fourth proportional to 647.40, 964.86 and 646.37 is: 963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.40 : 964.86 = 646.37 : x
  2. Step 2: Convert to fraction form
    647.40/964.86 = 646.37/x
  3. Step 3: Cross multiply
    647.40x = 964.86 × 646.37
  4. Step 4: Simplify right side
    647.40x = 623,656.56
  5. Step 5: Solve for x
    x = 623,656.56/647.40
  6. Step 6: Final answer
    x = 963.32

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1.5x scale

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.