Home / 709-978.60-473.38

Finding the Fourth Proportional to 709, 978.60 and 473.38

Calculator

Solution

The fourth proportional to 709, 978.60 and 473.38 is: 653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 978.60 = 473.38 : x
  2. Step 2: Convert to fraction form
    709/978.60 = 473.38/x
  3. Step 3: Cross multiply
    709x = 978.60 × 473.38
  4. Step 4: Simplify right side
    709x = 463,249.67
  5. Step 5: Solve for x
    x = 463,249.67/709
  6. Step 6: Final answer
    x = 653.38

Related Problems

Find fourth proportional to 354.50, 489.30 and 236.69
Half scale
Find fourth proportional to 1,418, 1,957.20 and 946.76
Double scale
Find fourth proportional to 710, 979.98 and 474.38
Similar ratio
Find fourth proportional to 1,063.50, 1,467.90 and 710.07
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.