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Finding the Fourth Proportional to 1,056.08, 1,457.38 and 590.33

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Solution

The fourth proportional to 1,056.08, 1,457.38 and 590.33 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.08 : 1,457.38 = 590.33 : x
  2. Step 2: Convert to fraction form
    1,056.08/1,457.38 = 590.33/x
  3. Step 3: Cross multiply
    1,056.08x = 1,457.38 × 590.33
  4. Step 4: Simplify right side
    1,056.08x = 860,335.14
  5. Step 5: Solve for x
    x = 860,335.14/1,056.08
  6. Step 6: Final answer
    x = 814.65

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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.