Home / 1,315.31-1,971.90-535.68

Finding the Fourth Proportional to 1,315.31, 1,971.90 and 535.68

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Solution

The fourth proportional to 1,315.31, 1,971.90 and 535.68 is: 803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.31 : 1,971.90 = 535.68 : x
  2. Step 2: Convert to fraction form
    1,315.31/1,971.90 = 535.68/x
  3. Step 3: Cross multiply
    1,315.31x = 1,971.90 × 535.68
  4. Step 4: Simplify right side
    1,315.31x = 1,056,307.39
  5. Step 5: Solve for x
    x = 1,056,307.39/1,315.31
  6. Step 6: Final answer
    x = 803.09

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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.