Home / 693.09-1,040.51-689.65

Finding the Fourth Proportional to 693.09, 1,040.51 and 689.65

Calculator

Solution

The fourth proportional to 693.09, 1,040.51 and 689.65 is: 1,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.09 : 1,040.51 = 689.65 : x
  2. Step 2: Convert to fraction form
    693.09/1,040.51 = 689.65/x
  3. Step 3: Cross multiply
    693.09x = 1,040.51 × 689.65
  4. Step 4: Simplify right side
    693.09x = 717,586.84
  5. Step 5: Solve for x
    x = 717,586.84/693.09
  6. Step 6: Final answer
    x = 1,035.34

Related Problems

Find fourth proportional to 346.55, 520.26 and 344.82
Half scale
Find fourth proportional to 1,386.18, 2,081.03 and 1,379.30
Double scale
Find fourth proportional to 694.09, 1,042.01 and 690.65
Similar ratio
Find fourth proportional to 1,039.64, 1,560.77 and 1,034.47
1.5x scale

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.