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Finding the Fourth Proportional to 1,004.84, 1,507.41 and 457.01

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Solution

The fourth proportional to 1,004.84, 1,507.41 and 457.01 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.84 : 1,507.41 = 457.01 : x
  2. Step 2: Convert to fraction form
    1,004.84/1,507.41 = 457.01/x
  3. Step 3: Cross multiply
    1,004.84x = 1,507.41 × 457.01
  4. Step 4: Simplify right side
    1,004.84x = 688,901.44
  5. Step 5: Solve for x
    x = 688,901.44/1,004.84
  6. Step 6: Final answer
    x = 685.58

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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.