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Finding the Fourth Proportional to 1,765.47, 2,646.58 and 898.77

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Solution

The fourth proportional to 1,765.47, 2,646.58 and 898.77 is: 1,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.47 : 2,646.58 = 898.77 : x
  2. Step 2: Convert to fraction form
    1,765.47/2,646.58 = 898.77/x
  3. Step 3: Cross multiply
    1,765.47x = 2,646.58 × 898.77
  4. Step 4: Simplify right side
    1,765.47x = 2,378,666.71
  5. Step 5: Solve for x
    x = 2,378,666.71/1,765.47
  6. Step 6: Final answer
    x = 1,347.33

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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.