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Finding the Fourth Proportional to 507, 700.86 and 461.46

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Solution

The fourth proportional to 507, 700.86 and 461.46 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 700.86 = 461.46 : x
  2. Step 2: Convert to fraction form
    507/700.86 = 461.46/x
  3. Step 3: Cross multiply
    507x = 700.86 × 461.46
  4. Step 4: Simplify right side
    507x = 323,418.86
  5. Step 5: Solve for x
    x = 323,418.86/507
  6. Step 6: Final answer
    x = 637.91

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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.