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Finding the Fourth Proportional to 1,056.76, 1,457.22 and 742.12

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Solution

The fourth proportional to 1,056.76, 1,457.22 and 742.12 is: 1,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.76 : 1,457.22 = 742.12 : x
  2. Step 2: Convert to fraction form
    1,056.76/1,457.22 = 742.12/x
  3. Step 3: Cross multiply
    1,056.76x = 1,457.22 × 742.12
  4. Step 4: Simplify right side
    1,056.76x = 1,081,432.11
  5. Step 5: Solve for x
    x = 1,081,432.11/1,056.76
  6. Step 6: Final answer
    x = 1,023.35

Related Problems

Find fourth proportional to 528.38, 728.61 and 371.06
Half scale
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Double scale
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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.