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Finding the Fourth Proportional to 973.86, 1,460.07 and 838.50

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Solution

The fourth proportional to 973.86, 1,460.07 and 838.50 is: 1,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.86 : 1,460.07 = 838.50 : x
  2. Step 2: Convert to fraction form
    973.86/1,460.07 = 838.50/x
  3. Step 3: Cross multiply
    973.86x = 1,460.07 × 838.50
  4. Step 4: Simplify right side
    973.86x = 1,224,268.70
  5. Step 5: Solve for x
    x = 1,224,268.70/973.86
  6. Step 6: Final answer
    x = 1,257.13

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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.