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Finding the Fourth Proportional to 790.42, 1,090.77 and 436.33

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Solution

The fourth proportional to 790.42, 1,090.77 and 436.33 is: 602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.42 : 1,090.77 = 436.33 : x
  2. Step 2: Convert to fraction form
    790.42/1,090.77 = 436.33/x
  3. Step 3: Cross multiply
    790.42x = 1,090.77 × 436.33
  4. Step 4: Simplify right side
    790.42x = 475,935.67
  5. Step 5: Solve for x
    x = 475,935.67/790.42
  6. Step 6: Final answer
    x = 602.13

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1.5x scale

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.