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Finding the Fourth Proportional to 900.98, 1,345.09 and 771.02

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Solution

The fourth proportional to 900.98, 1,345.09 and 771.02 is: 1,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.98 : 1,345.09 = 771.02 : x
  2. Step 2: Convert to fraction form
    900.98/1,345.09 = 771.02/x
  3. Step 3: Cross multiply
    900.98x = 1,345.09 × 771.02
  4. Step 4: Simplify right side
    900.98x = 1,037,091.29
  5. Step 5: Solve for x
    x = 1,037,091.29/900.98
  6. Step 6: Final answer
    x = 1,151.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.