Home / 1,530.13-2,291.98-709.09

Finding the Fourth Proportional to 1,530.13, 2,291.98 and 709.09

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Solution

The fourth proportional to 1,530.13, 2,291.98 and 709.09 is: 1,062.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.13 : 2,291.98 = 709.09 : x
  2. Step 2: Convert to fraction form
    1,530.13/2,291.98 = 709.09/x
  3. Step 3: Cross multiply
    1,530.13x = 2,291.98 × 709.09
  4. Step 4: Simplify right side
    1,530.13x = 1,625,220.10
  5. Step 5: Solve for x
    x = 1,625,220.10/1,530.13
  6. Step 6: Final answer
    x = 1,062.15

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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.