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Finding the Fourth Proportional to 779.10, 1,075.29 and 592.29

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Solution

The fourth proportional to 779.10, 1,075.29 and 592.29 is: 817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.10 : 1,075.29 = 592.29 : x
  2. Step 2: Convert to fraction form
    779.10/1,075.29 = 592.29/x
  3. Step 3: Cross multiply
    779.10x = 1,075.29 × 592.29
  4. Step 4: Simplify right side
    779.10x = 636,883.51
  5. Step 5: Solve for x
    x = 636,883.51/779.10
  6. Step 6: Final answer
    x = 817.46

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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.