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Finding the Fourth Proportional to 477.68, 658.64 and 384.80

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Solution

The fourth proportional to 477.68, 658.64 and 384.80 is: 530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 658.64 = 384.80 : x
  2. Step 2: Convert to fraction form
    477.68/658.64 = 384.80/x
  3. Step 3: Cross multiply
    477.68x = 658.64 × 384.80
  4. Step 4: Simplify right side
    477.68x = 253,444.67
  5. Step 5: Solve for x
    x = 253,444.67/477.68
  6. Step 6: Final answer
    x = 530.57

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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.