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Finding the Fourth Proportional to 525.98, 727.42 and 460.36

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Solution

The fourth proportional to 525.98, 727.42 and 460.36 is: 636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.98 : 727.42 = 460.36 : x
  2. Step 2: Convert to fraction form
    525.98/727.42 = 460.36/x
  3. Step 3: Cross multiply
    525.98x = 727.42 × 460.36
  4. Step 4: Simplify right side
    525.98x = 334,875.07
  5. Step 5: Solve for x
    x = 334,875.07/525.98
  6. Step 6: Final answer
    x = 636.67

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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.