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Finding the Fourth Proportional to 973.84, 1,461 and 280.56

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Solution

The fourth proportional to 973.84, 1,461 and 280.56 is: 420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.84 : 1,461 = 280.56 : x
  2. Step 2: Convert to fraction form
    973.84/1,461 = 280.56/x
  3. Step 3: Cross multiply
    973.84x = 1,461 × 280.56
  4. Step 4: Simplify right side
    973.84x = 409,898.16
  5. Step 5: Solve for x
    x = 409,898.16/973.84
  6. Step 6: Final answer
    x = 420.91

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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.