Home / 1,056.34-1,457.77-614.28

Finding the Fourth Proportional to 1,056.34, 1,457.77 and 614.28

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Solution

The fourth proportional to 1,056.34, 1,457.77 and 614.28 is: 847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.34 : 1,457.77 = 614.28 : x
  2. Step 2: Convert to fraction form
    1,056.34/1,457.77 = 614.28/x
  3. Step 3: Cross multiply
    1,056.34x = 1,457.77 × 614.28
  4. Step 4: Simplify right side
    1,056.34x = 895,485.77
  5. Step 5: Solve for x
    x = 895,485.77/1,056.34
  6. Step 6: Final answer
    x = 847.72

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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.