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Finding the Fourth Proportional to 804.90, 1,111.65 and 556.98

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Solution

The fourth proportional to 804.90, 1,111.65 and 556.98 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.90 : 1,111.65 = 556.98 : x
  2. Step 2: Convert to fraction form
    804.90/1,111.65 = 556.98/x
  3. Step 3: Cross multiply
    804.90x = 1,111.65 × 556.98
  4. Step 4: Simplify right side
    804.90x = 619,166.82
  5. Step 5: Solve for x
    x = 619,166.82/804.90
  6. Step 6: Final answer
    x = 769.25

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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.