Home / 1,056.45-1,457.93-590.70

Finding the Fourth Proportional to 1,056.45, 1,457.93 and 590.70

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Solution

The fourth proportional to 1,056.45, 1,457.93 and 590.70 is: 815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.45 : 1,457.93 = 590.70 : x
  2. Step 2: Convert to fraction form
    1,056.45/1,457.93 = 590.70/x
  3. Step 3: Cross multiply
    1,056.45x = 1,457.93 × 590.70
  4. Step 4: Simplify right side
    1,056.45x = 861,199.25
  5. Step 5: Solve for x
    x = 861,199.25/1,056.45
  6. Step 6: Final answer
    x = 815.18

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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.