Home / 1,027.10-1,417.32-561.35

Finding the Fourth Proportional to 1,027.10, 1,417.32 and 561.35

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Solution

The fourth proportional to 1,027.10, 1,417.32 and 561.35 is: 774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,417.32 = 561.35 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,417.32 = 561.35/x
  3. Step 3: Cross multiply
    1,027.10x = 1,417.32 × 561.35
  4. Step 4: Simplify right side
    1,027.10x = 795,612.58
  5. Step 5: Solve for x
    x = 795,612.58/1,027.10
  6. Step 6: Final answer
    x = 774.62

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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.