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Finding the Fourth Proportional to 554.75, 765.64 and 530.14

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Solution

The fourth proportional to 554.75, 765.64 and 530.14 is: 731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.75 : 765.64 = 530.14 : x
  2. Step 2: Convert to fraction form
    554.75/765.64 = 530.14/x
  3. Step 3: Cross multiply
    554.75x = 765.64 × 530.14
  4. Step 4: Simplify right side
    554.75x = 405,899.63
  5. Step 5: Solve for x
    x = 405,899.63/554.75
  6. Step 6: Final answer
    x = 731.69

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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.