Home / 1,027.46-1,417.75-585.40

Finding the Fourth Proportional to 1,027.46, 1,417.75 and 585.40

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Solution

The fourth proportional to 1,027.46, 1,417.75 and 585.40 is: 807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.46 : 1,417.75 = 585.40 : x
  2. Step 2: Convert to fraction form
    1,027.46/1,417.75 = 585.40/x
  3. Step 3: Cross multiply
    1,027.46x = 1,417.75 × 585.40
  4. Step 4: Simplify right side
    1,027.46x = 829,950.85
  5. Step 5: Solve for x
    x = 829,950.85/1,027.46
  6. Step 6: Final answer
    x = 807.77

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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.