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Finding the Fourth Proportional to 525.17, 786.53 and 402.45

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Solution

The fourth proportional to 525.17, 786.53 and 402.45 is: 602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.17 : 786.53 = 402.45 : x
  2. Step 2: Convert to fraction form
    525.17/786.53 = 402.45/x
  3. Step 3: Cross multiply
    525.17x = 786.53 × 402.45
  4. Step 4: Simplify right side
    525.17x = 316,536.99
  5. Step 5: Solve for x
    x = 316,536.99/525.17
  6. Step 6: Final answer
    x = 602.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.