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Finding the Fourth Proportional to 699.36, 962.46 and 524.40

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Solution

The fourth proportional to 699.36, 962.46 and 524.40 is: 721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.36 : 962.46 = 524.40 : x
  2. Step 2: Convert to fraction form
    699.36/962.46 = 524.40/x
  3. Step 3: Cross multiply
    699.36x = 962.46 × 524.40
  4. Step 4: Simplify right side
    699.36x = 504,714.02
  5. Step 5: Solve for x
    x = 504,714.02/699.36
  6. Step 6: Final answer
    x = 721.68

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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.