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Finding the Fourth Proportional to 904.68, 1,354.51 and 464.98

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Solution

The fourth proportional to 904.68, 1,354.51 and 464.98 is: 696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.68 : 1,354.51 = 464.98 : x
  2. Step 2: Convert to fraction form
    904.68/1,354.51 = 464.98/x
  3. Step 3: Cross multiply
    904.68x = 1,354.51 × 464.98
  4. Step 4: Simplify right side
    904.68x = 629,820.06
  5. Step 5: Solve for x
    x = 629,820.06/904.68
  6. Step 6: Final answer
    x = 696.18

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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.