Home / 1,417.06-2,124.80-429.74

Finding the Fourth Proportional to 1,417.06, 2,124.80 and 429.74

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Solution

The fourth proportional to 1,417.06, 2,124.80 and 429.74 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.06 : 2,124.80 = 429.74 : x
  2. Step 2: Convert to fraction form
    1,417.06/2,124.80 = 429.74/x
  3. Step 3: Cross multiply
    1,417.06x = 2,124.80 × 429.74
  4. Step 4: Simplify right side
    1,417.06x = 913,111.55
  5. Step 5: Solve for x
    x = 913,111.55/1,417.06
  6. Step 6: Final answer
    x = 644.37

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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.