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Finding the Fourth Proportional to 495.10, 683.70 and 465.74

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Solution

The fourth proportional to 495.10, 683.70 and 465.74 is: 643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.10 : 683.70 = 465.74 : x
  2. Step 2: Convert to fraction form
    495.10/683.70 = 465.74/x
  3. Step 3: Cross multiply
    495.10x = 683.70 × 465.74
  4. Step 4: Simplify right side
    495.10x = 318,426.44
  5. Step 5: Solve for x
    x = 318,426.44/495.10
  6. Step 6: Final answer
    x = 643.16

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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.