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Finding the Fourth Proportional to 903.66, 1,247.06 and 510.68

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Solution

The fourth proportional to 903.66, 1,247.06 and 510.68 is: 704.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.66 : 1,247.06 = 510.68 : x
  2. Step 2: Convert to fraction form
    903.66/1,247.06 = 510.68/x
  3. Step 3: Cross multiply
    903.66x = 1,247.06 × 510.68
  4. Step 4: Simplify right side
    903.66x = 636,848.60
  5. Step 5: Solve for x
    x = 636,848.60/903.66
  6. Step 6: Final answer
    x = 704.74

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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.