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Finding the Fourth Proportional to 900.19, 1,347.84 and 752.77

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Solution

The fourth proportional to 900.19, 1,347.84 and 752.77 is: 1,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.19 : 1,347.84 = 752.77 : x
  2. Step 2: Convert to fraction form
    900.19/1,347.84 = 752.77/x
  3. Step 3: Cross multiply
    900.19x = 1,347.84 × 752.77
  4. Step 4: Simplify right side
    900.19x = 1,014,613.52
  5. Step 5: Solve for x
    x = 1,014,613.52/900.19
  6. Step 6: Final answer
    x = 1,127.11

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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.