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Finding the Fourth Proportional to 500.49, 690.14 and 430.78

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Solution

The fourth proportional to 500.49, 690.14 and 430.78 is: 594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 690.14 = 430.78 : x
  2. Step 2: Convert to fraction form
    500.49/690.14 = 430.78/x
  3. Step 3: Cross multiply
    500.49x = 690.14 × 430.78
  4. Step 4: Simplify right side
    500.49x = 297,298.51
  5. Step 5: Solve for x
    x = 297,298.51/500.49
  6. Step 6: Final answer
    x = 594.02

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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.