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Finding the Fourth Proportional to 467.40, 643.95 and 384.78

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Solution

The fourth proportional to 467.40, 643.95 and 384.78 is: 530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.40 : 643.95 = 384.78 : x
  2. Step 2: Convert to fraction form
    467.40/643.95 = 384.78/x
  3. Step 3: Cross multiply
    467.40x = 643.95 × 384.78
  4. Step 4: Simplify right side
    467.40x = 247,779.08
  5. Step 5: Solve for x
    x = 247,779.08/467.40
  6. Step 6: Final answer
    x = 530.12

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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.