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Finding the Fourth Proportional to 630.70, 940.40 and 567.78

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Solution

The fourth proportional to 630.70, 940.40 and 567.78 is: 846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.70 : 940.40 = 567.78 : x
  2. Step 2: Convert to fraction form
    630.70/940.40 = 567.78/x
  3. Step 3: Cross multiply
    630.70x = 940.40 × 567.78
  4. Step 4: Simplify right side
    630.70x = 533,940.31
  5. Step 5: Solve for x
    x = 533,940.31/630.70
  6. Step 6: Final answer
    x = 846.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.