Home / 1,056.15-1,457.49-590.40

Finding the Fourth Proportional to 1,056.15, 1,457.49 and 590.40

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Solution

The fourth proportional to 1,056.15, 1,457.49 and 590.40 is: 814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.15 : 1,457.49 = 590.40 : x
  2. Step 2: Convert to fraction form
    1,056.15/1,457.49 = 590.40/x
  3. Step 3: Cross multiply
    1,056.15x = 1,457.49 × 590.40
  4. Step 4: Simplify right side
    1,056.15x = 860,502.10
  5. Step 5: Solve for x
    x = 860,502.10/1,056.15
  6. Step 6: Final answer
    x = 814.75

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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.