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Finding the Fourth Proportional to 903.16, 1,245.06 and 592.12

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Solution

The fourth proportional to 903.16, 1,245.06 and 592.12 is: 816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.16 : 1,245.06 = 592.12 : x
  2. Step 2: Convert to fraction form
    903.16/1,245.06 = 592.12/x
  3. Step 3: Cross multiply
    903.16x = 1,245.06 × 592.12
  4. Step 4: Simplify right side
    903.16x = 737,224.93
  5. Step 5: Solve for x
    x = 737,224.93/903.16
  6. Step 6: Final answer
    x = 816.27

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1.5x scale

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.