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Finding the Fourth Proportional to 530.84, 796.53 and 490.75

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Solution

The fourth proportional to 530.84, 796.53 and 490.75 is: 736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.84 : 796.53 = 490.75 : x
  2. Step 2: Convert to fraction form
    530.84/796.53 = 490.75/x
  3. Step 3: Cross multiply
    530.84x = 796.53 × 490.75
  4. Step 4: Simplify right side
    530.84x = 390,897.10
  5. Step 5: Solve for x
    x = 390,897.10/530.84
  6. Step 6: Final answer
    x = 736.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.