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Finding the Fourth Proportional to 805.16, 1,111.08 and 455.76

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Solution

The fourth proportional to 805.16, 1,111.08 and 455.76 is: 628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.16 : 1,111.08 = 455.76 : x
  2. Step 2: Convert to fraction form
    805.16/1,111.08 = 455.76/x
  3. Step 3: Cross multiply
    805.16x = 1,111.08 × 455.76
  4. Step 4: Simplify right side
    805.16x = 506,385.82
  5. Step 5: Solve for x
    x = 506,385.82/805.16
  6. Step 6: Final answer
    x = 628.93

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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.