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Finding the Fourth Proportional to 495.51, 683.26 and 384.72

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Solution

The fourth proportional to 495.51, 683.26 and 384.72 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.51 : 683.26 = 384.72 : x
  2. Step 2: Convert to fraction form
    495.51/683.26 = 384.72/x
  3. Step 3: Cross multiply
    495.51x = 683.26 × 384.72
  4. Step 4: Simplify right side
    495.51x = 262,863.79
  5. Step 5: Solve for x
    x = 262,863.79/495.51
  6. Step 6: Final answer
    x = 530.49

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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.