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Finding the Fourth Proportional to 904.68, 1,357.62 and 472.14

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Solution

The fourth proportional to 904.68, 1,357.62 and 472.14 is: 708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.68 : 1,357.62 = 472.14 : x
  2. Step 2: Convert to fraction form
    904.68/1,357.62 = 472.14/x
  3. Step 3: Cross multiply
    904.68x = 1,357.62 × 472.14
  4. Step 4: Simplify right side
    904.68x = 640,986.71
  5. Step 5: Solve for x
    x = 640,986.71/904.68
  6. Step 6: Final answer
    x = 708.52

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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.