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Finding the Fourth Proportional to 567.78, 848.52 and 421.86

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Solution

The fourth proportional to 567.78, 848.52 and 421.86 is: 630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.78 : 848.52 = 421.86 : x
  2. Step 2: Convert to fraction form
    567.78/848.52 = 421.86/x
  3. Step 3: Cross multiply
    567.78x = 848.52 × 421.86
  4. Step 4: Simplify right side
    567.78x = 357,956.65
  5. Step 5: Solve for x
    x = 357,956.65/567.78
  6. Step 6: Final answer
    x = 630.45

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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.