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Finding the Fourth Proportional to 964.19, 1,445.27 and 416.63

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Solution

The fourth proportional to 964.19, 1,445.27 and 416.63 is: 624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,445.27 = 416.63 : x
  2. Step 2: Convert to fraction form
    964.19/1,445.27 = 416.63/x
  3. Step 3: Cross multiply
    964.19x = 1,445.27 × 416.63
  4. Step 4: Simplify right side
    964.19x = 602,133.53
  5. Step 5: Solve for x
    x = 602,133.53/964.19
  6. Step 6: Final answer
    x = 624.50

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Double scale
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1.5x scale

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.