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Finding the Fourth Proportional to 1,315.02, 1,815.64 and 817.76

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Solution

The fourth proportional to 1,315.02, 1,815.64 and 817.76 is: 1,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.02 : 1,815.64 = 817.76 : x
  2. Step 2: Convert to fraction form
    1,315.02/1,815.64 = 817.76/x
  3. Step 3: Cross multiply
    1,315.02x = 1,815.64 × 817.76
  4. Step 4: Simplify right side
    1,315.02x = 1,484,757.77
  5. Step 5: Solve for x
    x = 1,484,757.77/1,315.02
  6. Step 6: Final answer
    x = 1,129.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.