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Finding the Fourth Proportional to 972.85, 1,464.76 and 858.03

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Solution

The fourth proportional to 972.85, 1,464.76 and 858.03 is: 1,291.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.85 : 1,464.76 = 858.03 : x
  2. Step 2: Convert to fraction form
    972.85/1,464.76 = 858.03/x
  3. Step 3: Cross multiply
    972.85x = 1,464.76 × 858.03
  4. Step 4: Simplify right side
    972.85x = 1,256,808.02
  5. Step 5: Solve for x
    x = 1,256,808.02/972.85
  6. Step 6: Final answer
    x = 1,291.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.