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Finding the Fourth Proportional to 508.09, 701.54 and 500.02

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Solution

The fourth proportional to 508.09, 701.54 and 500.02 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 701.54 = 500.02 : x
  2. Step 2: Convert to fraction form
    508.09/701.54 = 500.02/x
  3. Step 3: Cross multiply
    508.09x = 701.54 × 500.02
  4. Step 4: Simplify right side
    508.09x = 350,784.03
  5. Step 5: Solve for x
    x = 350,784.03/508.09
  6. Step 6: Final answer
    x = 690.40

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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.