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Finding the Fourth Proportional to 779.23, 1,075.76 and 593.49

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Solution

The fourth proportional to 779.23, 1,075.76 and 593.49 is: 819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.23 : 1,075.76 = 593.49 : x
  2. Step 2: Convert to fraction form
    779.23/1,075.76 = 593.49/x
  3. Step 3: Cross multiply
    779.23x = 1,075.76 × 593.49
  4. Step 4: Simplify right side
    779.23x = 638,452.80
  5. Step 5: Solve for x
    x = 638,452.80/779.23
  6. Step 6: Final answer
    x = 819.34

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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.