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Finding the Fourth Proportional to 652.81, 900.94 and 373.14

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Solution

The fourth proportional to 652.81, 900.94 and 373.14 is: 514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.81 : 900.94 = 373.14 : x
  2. Step 2: Convert to fraction form
    652.81/900.94 = 373.14/x
  3. Step 3: Cross multiply
    652.81x = 900.94 × 373.14
  4. Step 4: Simplify right side
    652.81x = 336,176.52
  5. Step 5: Solve for x
    x = 336,176.52/652.81
  6. Step 6: Final answer
    x = 514.97

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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.