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Finding the Fourth Proportional to 790.02, 1,089.99 and 556.74

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Solution

The fourth proportional to 790.02, 1,089.99 and 556.74 is: 768.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.02 : 1,089.99 = 556.74 : x
  2. Step 2: Convert to fraction form
    790.02/1,089.99 = 556.74/x
  3. Step 3: Cross multiply
    790.02x = 1,089.99 × 556.74
  4. Step 4: Simplify right side
    790.02x = 606,841.03
  5. Step 5: Solve for x
    x = 606,841.03/790.02
  6. Step 6: Final answer
    x = 768.13

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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.