Home / 1,056.21-1,457.61-590.46

Finding the Fourth Proportional to 1,056.21, 1,457.61 and 590.46

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Solution

The fourth proportional to 1,056.21, 1,457.61 and 590.46 is: 814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.21 : 1,457.61 = 590.46 : x
  2. Step 2: Convert to fraction form
    1,056.21/1,457.61 = 590.46/x
  3. Step 3: Cross multiply
    1,056.21x = 1,457.61 × 590.46
  4. Step 4: Simplify right side
    1,056.21x = 860,660.40
  5. Step 5: Solve for x
    x = 860,660.40/1,056.21
  6. Step 6: Final answer
    x = 814.86

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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.