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Finding the Fourth Proportional to 1,056.51, 1,457.74 and 614.15

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Solution

The fourth proportional to 1,056.51, 1,457.74 and 614.15 is: 847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.51 : 1,457.74 = 614.15 : x
  2. Step 2: Convert to fraction form
    1,056.51/1,457.74 = 614.15/x
  3. Step 3: Cross multiply
    1,056.51x = 1,457.74 × 614.15
  4. Step 4: Simplify right side
    1,056.51x = 895,262.20
  5. Step 5: Solve for x
    x = 895,262.20/1,056.51
  6. Step 6: Final answer
    x = 847.38

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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.