Home / 1,315.36-1,972.84-524.67

Finding the Fourth Proportional to 1,315.36, 1,972.84 and 524.67

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Solution

The fourth proportional to 1,315.36, 1,972.84 and 524.67 is: 786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.36 : 1,972.84 = 524.67 : x
  2. Step 2: Convert to fraction form
    1,315.36/1,972.84 = 524.67/x
  3. Step 3: Cross multiply
    1,315.36x = 1,972.84 × 524.67
  4. Step 4: Simplify right side
    1,315.36x = 1,035,089.96
  5. Step 5: Solve for x
    x = 1,035,089.96/1,315.36
  6. Step 6: Final answer
    x = 786.93

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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.