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Finding the Fourth Proportional to 704.93, 1,055.76 and 460.85

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Solution

The fourth proportional to 704.93, 1,055.76 and 460.85 is: 690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.93 : 1,055.76 = 460.85 : x
  2. Step 2: Convert to fraction form
    704.93/1,055.76 = 460.85/x
  3. Step 3: Cross multiply
    704.93x = 1,055.76 × 460.85
  4. Step 4: Simplify right side
    704.93x = 486,541.72
  5. Step 5: Solve for x
    x = 486,541.72/704.93
  6. Step 6: Final answer
    x = 690.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.