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Finding the Fourth Proportional to 1,056.34, 1,457.74 and 584.18

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Solution

The fourth proportional to 1,056.34, 1,457.74 and 584.18 is: 806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.34 : 1,457.74 = 584.18 : x
  2. Step 2: Convert to fraction form
    1,056.34/1,457.74 = 584.18/x
  3. Step 3: Cross multiply
    1,056.34x = 1,457.74 × 584.18
  4. Step 4: Simplify right side
    1,056.34x = 851,582.55
  5. Step 5: Solve for x
    x = 851,582.55/1,056.34
  6. Step 6: Final answer
    x = 806.16

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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.