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Finding the Fourth Proportional to 566.19, 848.45 and 464.19

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Solution

The fourth proportional to 566.19, 848.45 and 464.19 is: 695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 848.45 = 464.19 : x
  2. Step 2: Convert to fraction form
    566.19/848.45 = 464.19/x
  3. Step 3: Cross multiply
    566.19x = 848.45 × 464.19
  4. Step 4: Simplify right side
    566.19x = 393,839.68
  5. Step 5: Solve for x
    x = 393,839.68/566.19
  6. Step 6: Final answer
    x = 695.60

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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.