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Finding the Fourth Proportional to 1,566.98, 2,350.15 and 456.32

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Solution

The fourth proportional to 1,566.98, 2,350.15 and 456.32 is: 684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.98 : 2,350.15 = 456.32 : x
  2. Step 2: Convert to fraction form
    1,566.98/2,350.15 = 456.32/x
  3. Step 3: Cross multiply
    1,566.98x = 2,350.15 × 456.32
  4. Step 4: Simplify right side
    1,566.98x = 1,072,420.45
  5. Step 5: Solve for x
    x = 1,072,420.45/1,566.98
  6. Step 6: Final answer
    x = 684.39

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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.