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Finding the Fourth Proportional to 530.52, 790.59 and 513.11

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Solution

The fourth proportional to 530.52, 790.59 and 513.11 is: 764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.52 : 790.59 = 513.11 : x
  2. Step 2: Convert to fraction form
    530.52/790.59 = 513.11/x
  3. Step 3: Cross multiply
    530.52x = 790.59 × 513.11
  4. Step 4: Simplify right side
    530.52x = 405,655.68
  5. Step 5: Solve for x
    x = 405,655.68/530.52
  6. Step 6: Final answer
    x = 764.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.