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Finding the Fourth Proportional to 503.28, 751.59 and 421.50

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Solution

The fourth proportional to 503.28, 751.59 and 421.50 is: 629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.28 : 751.59 = 421.50 : x
  2. Step 2: Convert to fraction form
    503.28/751.59 = 421.50/x
  3. Step 3: Cross multiply
    503.28x = 751.59 × 421.50
  4. Step 4: Simplify right side
    503.28x = 316,795.19
  5. Step 5: Solve for x
    x = 316,795.19/503.28
  6. Step 6: Final answer
    x = 629.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.