Home / 1,027.21-1,417.67-585.15

Finding the Fourth Proportional to 1,027.21, 1,417.67 and 585.15

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Solution

The fourth proportional to 1,027.21, 1,417.67 and 585.15 is: 807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.21 : 1,417.67 = 585.15 : x
  2. Step 2: Convert to fraction form
    1,027.21/1,417.67 = 585.15/x
  3. Step 3: Cross multiply
    1,027.21x = 1,417.67 × 585.15
  4. Step 4: Simplify right side
    1,027.21x = 829,549.60
  5. Step 5: Solve for x
    x = 829,549.60/1,027.21
  6. Step 6: Final answer
    x = 807.58

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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.