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Finding the Fourth Proportional to 1,317.04, 1,973.92 and 877.90

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Solution

The fourth proportional to 1,317.04, 1,973.92 and 877.90 is: 1,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.04 : 1,973.92 = 877.90 : x
  2. Step 2: Convert to fraction form
    1,317.04/1,973.92 = 877.90/x
  3. Step 3: Cross multiply
    1,317.04x = 1,973.92 × 877.90
  4. Step 4: Simplify right side
    1,317.04x = 1,732,904.37
  5. Step 5: Solve for x
    x = 1,732,904.37/1,317.04
  6. Step 6: Final answer
    x = 1,315.76

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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.