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Finding the Fourth Proportional to 1,057.37, 1,459.04 and 585.20

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Solution

The fourth proportional to 1,057.37, 1,459.04 and 585.20 is: 807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.37 : 1,459.04 = 585.20 : x
  2. Step 2: Convert to fraction form
    1,057.37/1,459.04 = 585.20/x
  3. Step 3: Cross multiply
    1,057.37x = 1,459.04 × 585.20
  4. Step 4: Simplify right side
    1,057.37x = 853,819.99
  5. Step 5: Solve for x
    x = 853,819.99/1,057.37
  6. Step 6: Final answer
    x = 807.50

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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.