Home / 1,420.16-2,129.37-586.94

Finding the Fourth Proportional to 1,420.16, 2,129.37 and 586.94

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Solution

The fourth proportional to 1,420.16, 2,129.37 and 586.94 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.16 : 2,129.37 = 586.94 : x
  2. Step 2: Convert to fraction form
    1,420.16/2,129.37 = 586.94/x
  3. Step 3: Cross multiply
    1,420.16x = 2,129.37 × 586.94
  4. Step 4: Simplify right side
    1,420.16x = 1,249,801.78
  5. Step 5: Solve for x
    x = 1,249,801.78/1,420.16
  6. Step 6: Final answer
    x = 880.05

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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.