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Finding the Fourth Proportional to 655.14, 903.67 and 530.80

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Solution

The fourth proportional to 655.14, 903.67 and 530.80 is: 732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.14 : 903.67 = 530.80 : x
  2. Step 2: Convert to fraction form
    655.14/903.67 = 530.80/x
  3. Step 3: Cross multiply
    655.14x = 903.67 × 530.80
  4. Step 4: Simplify right side
    655.14x = 479,668.04
  5. Step 5: Solve for x
    x = 479,668.04/655.14
  6. Step 6: Final answer
    x = 732.16

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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.