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Finding the Fourth Proportional to 646.40, 969.76 and 464.16

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Solution

The fourth proportional to 646.40, 969.76 and 464.16 is: 696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.40 : 969.76 = 464.16 : x
  2. Step 2: Convert to fraction form
    646.40/969.76 = 464.16/x
  3. Step 3: Cross multiply
    646.40x = 969.76 × 464.16
  4. Step 4: Simplify right side
    646.40x = 450,123.80
  5. Step 5: Solve for x
    x = 450,123.80/646.40
  6. Step 6: Final answer
    x = 696.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.