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Finding the Fourth Proportional to 779.05, 1,075.44 and 495.59

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Solution

The fourth proportional to 779.05, 1,075.44 and 495.59 is: 684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.05 : 1,075.44 = 495.59 : x
  2. Step 2: Convert to fraction form
    779.05/1,075.44 = 495.59/x
  3. Step 3: Cross multiply
    779.05x = 1,075.44 × 495.59
  4. Step 4: Simplify right side
    779.05x = 532,973.79
  5. Step 5: Solve for x
    x = 532,973.79/779.05
  6. Step 6: Final answer
    x = 684.13

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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.