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Finding the Fourth Proportional to 904.23, 1,247.01 and 572.07

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Solution

The fourth proportional to 904.23, 1,247.01 and 572.07 is: 788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.23 : 1,247.01 = 572.07 : x
  2. Step 2: Convert to fraction form
    904.23/1,247.01 = 572.07/x
  3. Step 3: Cross multiply
    904.23x = 1,247.01 × 572.07
  4. Step 4: Simplify right side
    904.23x = 713,377.01
  5. Step 5: Solve for x
    x = 713,377.01/904.23
  6. Step 6: Final answer
    x = 788.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.