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Finding the Fourth Proportional to 1,152.47, 1,590.77 and 779.20

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Solution

The fourth proportional to 1,152.47, 1,590.77 and 779.20 is: 1,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.47 : 1,590.77 = 779.20 : x
  2. Step 2: Convert to fraction form
    1,152.47/1,590.77 = 779.20/x
  3. Step 3: Cross multiply
    1,152.47x = 1,590.77 × 779.20
  4. Step 4: Simplify right side
    1,152.47x = 1,239,527.98
  5. Step 5: Solve for x
    x = 1,239,527.98/1,152.47
  6. Step 6: Final answer
    x = 1,075.54

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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.