Home / 1,312.09-1,968.17-434.59

Finding the Fourth Proportional to 1,312.09, 1,968.17 and 434.59

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Solution

The fourth proportional to 1,312.09, 1,968.17 and 434.59 is: 651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.09 : 1,968.17 = 434.59 : x
  2. Step 2: Convert to fraction form
    1,312.09/1,968.17 = 434.59/x
  3. Step 3: Cross multiply
    1,312.09x = 1,968.17 × 434.59
  4. Step 4: Simplify right side
    1,312.09x = 855,339.91
  5. Step 5: Solve for x
    x = 855,339.91/1,312.09
  6. Step 6: Final answer
    x = 651.89

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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.