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Finding the Fourth Proportional to 972.90, 1,335.42 and 899.01

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Solution

The fourth proportional to 972.90, 1,335.42 and 899.01 is: 1,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,335.42 = 899.01 : x
  2. Step 2: Convert to fraction form
    972.90/1,335.42 = 899.01/x
  3. Step 3: Cross multiply
    972.90x = 1,335.42 × 899.01
  4. Step 4: Simplify right side
    972.90x = 1,200,555.93
  5. Step 5: Solve for x
    x = 1,200,555.93/972.90
  6. Step 6: Final answer
    x = 1,234.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.