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Finding the Fourth Proportional to 1,492.32, 2,237.78 and 554.63

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Solution

The fourth proportional to 1,492.32, 2,237.78 and 554.63 is: 831.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.32 : 2,237.78 = 554.63 : x
  2. Step 2: Convert to fraction form
    1,492.32/2,237.78 = 554.63/x
  3. Step 3: Cross multiply
    1,492.32x = 2,237.78 × 554.63
  4. Step 4: Simplify right side
    1,492.32x = 1,241,125.96
  5. Step 5: Solve for x
    x = 1,241,125.96/1,492.32
  6. Step 6: Final answer
    x = 831.68

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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.