Home / 1,407.59-2,111.36-470.60

Finding the Fourth Proportional to 1,407.59, 2,111.36 and 470.60

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Solution

The fourth proportional to 1,407.59, 2,111.36 and 470.60 is: 705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.59 : 2,111.36 = 470.60 : x
  2. Step 2: Convert to fraction form
    1,407.59/2,111.36 = 470.60/x
  3. Step 3: Cross multiply
    1,407.59x = 2,111.36 × 470.60
  4. Step 4: Simplify right side
    1,407.59x = 993,606.02
  5. Step 5: Solve for x
    x = 993,606.02/1,407.59
  6. Step 6: Final answer
    x = 705.89

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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.