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Finding the Fourth Proportional to 1,677.60, 2,315.04 and 1,056

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Solution

The fourth proportional to 1,677.60, 2,315.04 and 1,056 is: 1,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.60 : 2,315.04 = 1,056 : x
  2. Step 2: Convert to fraction form
    1,677.60/2,315.04 = 1,056/x
  3. Step 3: Cross multiply
    1,677.60x = 2,315.04 × 1,056
  4. Step 4: Simplify right side
    1,677.60x = 2,444,682.24
  5. Step 5: Solve for x
    x = 2,444,682.24/1,677.60
  6. Step 6: Final answer
    x = 1,457.25

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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.