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Finding the Fourth Proportional to 524.34, 722.99 and 441.32

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Solution

The fourth proportional to 524.34, 722.99 and 441.32 is: 608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 722.99 = 441.32 : x
  2. Step 2: Convert to fraction form
    524.34/722.99 = 441.32/x
  3. Step 3: Cross multiply
    524.34x = 722.99 × 441.32
  4. Step 4: Simplify right side
    524.34x = 319,067.44
  5. Step 5: Solve for x
    x = 319,067.44/524.34
  6. Step 6: Final answer
    x = 608.51

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Half scale
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Double scale
Find fourth proportional to 525.34, 724.37 and 442.32
Similar ratio
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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.