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Finding the Fourth Proportional to 790.75, 1,184.91 and 530.20

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Solution

The fourth proportional to 790.75, 1,184.91 and 530.20 is: 794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.75 : 1,184.91 = 530.20 : x
  2. Step 2: Convert to fraction form
    790.75/1,184.91 = 530.20/x
  3. Step 3: Cross multiply
    790.75x = 1,184.91 × 530.20
  4. Step 4: Simplify right side
    790.75x = 628,239.28
  5. Step 5: Solve for x
    x = 628,239.28/790.75
  6. Step 6: Final answer
    x = 794.49

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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.