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Finding the Fourth Proportional to 904.61, 1,350.43 and 840.38

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Solution

The fourth proportional to 904.61, 1,350.43 and 840.38 is: 1,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.61 : 1,350.43 = 840.38 : x
  2. Step 2: Convert to fraction form
    904.61/1,350.43 = 840.38/x
  3. Step 3: Cross multiply
    904.61x = 1,350.43 × 840.38
  4. Step 4: Simplify right side
    904.61x = 1,134,865.51
  5. Step 5: Solve for x
    x = 1,134,865.51/904.61
  6. Step 6: Final answer
    x = 1,254.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.