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Finding the Fourth Proportional to 529.42, 726.05 and 507.25

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Solution

The fourth proportional to 529.42, 726.05 and 507.25 is: 695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.42 : 726.05 = 507.25 : x
  2. Step 2: Convert to fraction form
    529.42/726.05 = 507.25/x
  3. Step 3: Cross multiply
    529.42x = 726.05 × 507.25
  4. Step 4: Simplify right side
    529.42x = 368,284.51
  5. Step 5: Solve for x
    x = 368,284.51/529.42
  6. Step 6: Final answer
    x = 695.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.