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Finding the Fourth Proportional to 790.17, 1,090.90 and 524.98

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Solution

The fourth proportional to 790.17, 1,090.90 and 524.98 is: 724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.17 : 1,090.90 = 524.98 : x
  2. Step 2: Convert to fraction form
    790.17/1,090.90 = 524.98/x
  3. Step 3: Cross multiply
    790.17x = 1,090.90 × 524.98
  4. Step 4: Simplify right side
    790.17x = 572,700.68
  5. Step 5: Solve for x
    x = 572,700.68/790.17
  6. Step 6: Final answer
    x = 724.78

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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.