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Finding the Fourth Proportional to 903.80, 1,247.06 and 530.84

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Solution

The fourth proportional to 903.80, 1,247.06 and 530.84 is: 732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.80 : 1,247.06 = 530.84 : x
  2. Step 2: Convert to fraction form
    903.80/1,247.06 = 530.84/x
  3. Step 3: Cross multiply
    903.80x = 1,247.06 × 530.84
  4. Step 4: Simplify right side
    903.80x = 661,989.33
  5. Step 5: Solve for x
    x = 661,989.33/903.80
  6. Step 6: Final answer
    x = 732.45

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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.