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Finding the Fourth Proportional to 566.08, 848.76 and 421.72

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Solution

The fourth proportional to 566.08, 848.76 and 421.72 is: 632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.08 : 848.76 = 421.72 : x
  2. Step 2: Convert to fraction form
    566.08/848.76 = 421.72/x
  3. Step 3: Cross multiply
    566.08x = 848.76 × 421.72
  4. Step 4: Simplify right side
    566.08x = 357,939.07
  5. Step 5: Solve for x
    x = 357,939.07/566.08
  6. Step 6: Final answer
    x = 632.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.