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Finding the Fourth Proportional to 499.16, 689.04 and 364.77

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Solution

The fourth proportional to 499.16, 689.04 and 364.77 is: 503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.16 : 689.04 = 364.77 : x
  2. Step 2: Convert to fraction form
    499.16/689.04 = 364.77/x
  3. Step 3: Cross multiply
    499.16x = 689.04 × 364.77
  4. Step 4: Simplify right side
    499.16x = 251,341.12
  5. Step 5: Solve for x
    x = 251,341.12/499.16
  6. Step 6: Final answer
    x = 503.53

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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.