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Finding the Fourth Proportional to 779.34, 1,075.56 and 582.51

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Solution

The fourth proportional to 779.34, 1,075.56 and 582.51 is: 803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.34 : 1,075.56 = 582.51 : x
  2. Step 2: Convert to fraction form
    779.34/1,075.56 = 582.51/x
  3. Step 3: Cross multiply
    779.34x = 1,075.56 × 582.51
  4. Step 4: Simplify right side
    779.34x = 626,516.17
  5. Step 5: Solve for x
    x = 626,516.17/779.34
  6. Step 6: Final answer
    x = 803.91

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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.