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Finding the Fourth Proportional to 569.78, 786.30 and 307.80

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Solution

The fourth proportional to 569.78, 786.30 and 307.80 is: 424.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.78 : 786.30 = 307.80 : x
  2. Step 2: Convert to fraction form
    569.78/786.30 = 307.80/x
  3. Step 3: Cross multiply
    569.78x = 786.30 × 307.80
  4. Step 4: Simplify right side
    569.78x = 242,020.40
  5. Step 5: Solve for x
    x = 242,020.40/569.78
  6. Step 6: Final answer
    x = 424.76

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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.