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Finding the Fourth Proportional to 964.68, 1,445.66 and 478.08

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Solution

The fourth proportional to 964.68, 1,445.66 and 478.08 is: 716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.68 : 1,445.66 = 478.08 : x
  2. Step 2: Convert to fraction form
    964.68/1,445.66 = 478.08/x
  3. Step 3: Cross multiply
    964.68x = 1,445.66 × 478.08
  4. Step 4: Simplify right side
    964.68x = 691,141.13
  5. Step 5: Solve for x
    x = 691,141.13/964.68
  6. Step 6: Final answer
    x = 716.45

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Why These Related Problems?

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