Home / 1,580.58-2,368.40-964.13

Finding the Fourth Proportional to 1,580.58, 2,368.40 and 964.13

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Solution

The fourth proportional to 1,580.58, 2,368.40 and 964.13 is: 1,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.58 : 2,368.40 = 964.13 : x
  2. Step 2: Convert to fraction form
    1,580.58/2,368.40 = 964.13/x
  3. Step 3: Cross multiply
    1,580.58x = 2,368.40 × 964.13
  4. Step 4: Simplify right side
    1,580.58x = 2,283,428.83
  5. Step 5: Solve for x
    x = 2,283,428.83/1,580.58
  6. Step 6: Final answer
    x = 1,444.68

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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.