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Finding the Fourth Proportional to 903.57, 1,246.46 and 530.30

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Solution

The fourth proportional to 903.57, 1,246.46 and 530.30 is: 731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.57 : 1,246.46 = 530.30 : x
  2. Step 2: Convert to fraction form
    903.57/1,246.46 = 530.30/x
  3. Step 3: Cross multiply
    903.57x = 1,246.46 × 530.30
  4. Step 4: Simplify right side
    903.57x = 660,997.74
  5. Step 5: Solve for x
    x = 660,997.74/903.57
  6. Step 6: Final answer
    x = 731.54

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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.