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Finding the Fourth Proportional to 501.50, 693.51 and 478.58

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Solution

The fourth proportional to 501.50, 693.51 and 478.58 is: 661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.50 : 693.51 = 478.58 : x
  2. Step 2: Convert to fraction form
    501.50/693.51 = 478.58/x
  3. Step 3: Cross multiply
    501.50x = 693.51 × 478.58
  4. Step 4: Simplify right side
    501.50x = 331,900.02
  5. Step 5: Solve for x
    x = 331,900.02/501.50
  6. Step 6: Final answer
    x = 661.81

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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.