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Finding the Fourth Proportional to 903.16, 1,245.90 and 510.04

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Solution

The fourth proportional to 903.16, 1,245.90 and 510.04 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.16 : 1,245.90 = 510.04 : x
  2. Step 2: Convert to fraction form
    903.16/1,245.90 = 510.04/x
  3. Step 3: Cross multiply
    903.16x = 1,245.90 × 510.04
  4. Step 4: Simplify right side
    903.16x = 635,458.84
  5. Step 5: Solve for x
    x = 635,458.84/903.16
  6. Step 6: Final answer
    x = 703.59

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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.