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Finding the Fourth Proportional to 844.40, 1,164.80 and 512.96

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Solution

The fourth proportional to 844.40, 1,164.80 and 512.96 is: 707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.40 : 1,164.80 = 512.96 : x
  2. Step 2: Convert to fraction form
    844.40/1,164.80 = 512.96/x
  3. Step 3: Cross multiply
    844.40x = 1,164.80 × 512.96
  4. Step 4: Simplify right side
    844.40x = 597,495.81
  5. Step 5: Solve for x
    x = 597,495.81/844.40
  6. Step 6: Final answer
    x = 707.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.