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Finding the Fourth Proportional to 806.52, 1,113.08 and 457.23

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Solution

The fourth proportional to 806.52, 1,113.08 and 457.23 is: 631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.52 : 1,113.08 = 457.23 : x
  2. Step 2: Convert to fraction form
    806.52/1,113.08 = 457.23/x
  3. Step 3: Cross multiply
    806.52x = 1,113.08 × 457.23
  4. Step 4: Simplify right side
    806.52x = 508,931.28
  5. Step 5: Solve for x
    x = 508,931.28/806.52
  6. Step 6: Final answer
    x = 631.02

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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.