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Finding the Fourth Proportional to 778.85, 1,075.07 and 468.35

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Solution

The fourth proportional to 778.85, 1,075.07 and 468.35 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.85 : 1,075.07 = 468.35 : x
  2. Step 2: Convert to fraction form
    778.85/1,075.07 = 468.35/x
  3. Step 3: Cross multiply
    778.85x = 1,075.07 × 468.35
  4. Step 4: Simplify right side
    778.85x = 503,501.32
  5. Step 5: Solve for x
    x = 503,501.32/778.85
  6. Step 6: Final answer
    x = 646.47

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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.