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Finding the Fourth Proportional to 699.83, 967.52 and 524.87

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Solution

The fourth proportional to 699.83, 967.52 and 524.87 is: 725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.83 : 967.52 = 524.87 : x
  2. Step 2: Convert to fraction form
    699.83/967.52 = 524.87/x
  3. Step 3: Cross multiply
    699.83x = 967.52 × 524.87
  4. Step 4: Simplify right side
    699.83x = 507,822.22
  5. Step 5: Solve for x
    x = 507,822.22/699.83
  6. Step 6: Final answer
    x = 725.64

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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.