Home / 1,070.64-1,606.20-583.56

Finding the Fourth Proportional to 1,070.64, 1,606.20 and 583.56

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Solution

The fourth proportional to 1,070.64, 1,606.20 and 583.56 is: 875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.64 : 1,606.20 = 583.56 : x
  2. Step 2: Convert to fraction form
    1,070.64/1,606.20 = 583.56/x
  3. Step 3: Cross multiply
    1,070.64x = 1,606.20 × 583.56
  4. Step 4: Simplify right side
    1,070.64x = 937,314.07
  5. Step 5: Solve for x
    x = 937,314.07/1,070.64
  6. Step 6: Final answer
    x = 875.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.