Home / 1,538.04-2,306.80-564.15

Finding the Fourth Proportional to 1,538.04, 2,306.80 and 564.15

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Solution

The fourth proportional to 1,538.04, 2,306.80 and 564.15 is: 846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.04 : 2,306.80 = 564.15 : x
  2. Step 2: Convert to fraction form
    1,538.04/2,306.80 = 564.15/x
  3. Step 3: Cross multiply
    1,538.04x = 2,306.80 × 564.15
  4. Step 4: Simplify right side
    1,538.04x = 1,301,381.22
  5. Step 5: Solve for x
    x = 1,301,381.22/1,538.04
  6. Step 6: Final answer
    x = 846.13

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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.