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Finding the Fourth Proportional to 503.09, 750.72 and 457.07

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Solution

The fourth proportional to 503.09, 750.72 and 457.07 is: 682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.09 : 750.72 = 457.07 : x
  2. Step 2: Convert to fraction form
    503.09/750.72 = 457.07/x
  3. Step 3: Cross multiply
    503.09x = 750.72 × 457.07
  4. Step 4: Simplify right side
    503.09x = 343,129.09
  5. Step 5: Solve for x
    x = 343,129.09/503.09
  6. Step 6: Final answer
    x = 682.05

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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.