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Finding the Fourth Proportional to 790.72, 1,090.08 and 528.16

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Solution

The fourth proportional to 790.72, 1,090.08 and 528.16 is: 728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.72 : 1,090.08 = 528.16 : x
  2. Step 2: Convert to fraction form
    790.72/1,090.08 = 528.16/x
  3. Step 3: Cross multiply
    790.72x = 1,090.08 × 528.16
  4. Step 4: Simplify right side
    790.72x = 575,736.65
  5. Step 5: Solve for x
    x = 575,736.65/790.72
  6. Step 6: Final answer
    x = 728.12

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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.