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Finding the Fourth Proportional to 780.02, 1,075.92 and 469.34

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Solution

The fourth proportional to 780.02, 1,075.92 and 469.34 is: 647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.02 : 1,075.92 = 469.34 : x
  2. Step 2: Convert to fraction form
    780.02/1,075.92 = 469.34/x
  3. Step 3: Cross multiply
    780.02x = 1,075.92 × 469.34
  4. Step 4: Simplify right side
    780.02x = 504,972.29
  5. Step 5: Solve for x
    x = 504,972.29/780.02
  6. Step 6: Final answer
    x = 647.38

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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.