Home / 1,056.40-1,457.70-614.23

Finding the Fourth Proportional to 1,056.40, 1,457.70 and 614.23

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Solution

The fourth proportional to 1,056.40, 1,457.70 and 614.23 is: 847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.40 : 1,457.70 = 614.23 : x
  2. Step 2: Convert to fraction form
    1,056.40/1,457.70 = 614.23/x
  3. Step 3: Cross multiply
    1,056.40x = 1,457.70 × 614.23
  4. Step 4: Simplify right side
    1,056.40x = 895,363.07
  5. Step 5: Solve for x
    x = 895,363.07/1,056.40
  6. Step 6: Final answer
    x = 847.56

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1.5x scale

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.