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Finding the Fourth Proportional to 790.33, 1,090.18 and 510.12

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Solution

The fourth proportional to 790.33, 1,090.18 and 510.12 is: 703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.33 : 1,090.18 = 510.12 : x
  2. Step 2: Convert to fraction form
    790.33/1,090.18 = 510.12/x
  3. Step 3: Cross multiply
    790.33x = 1,090.18 × 510.12
  4. Step 4: Simplify right side
    790.33x = 556,122.62
  5. Step 5: Solve for x
    x = 556,122.62/790.33
  6. Step 6: Final answer
    x = 703.66

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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.