Home / 470.29-705.54-305.71

Finding the Fourth Proportional to 470.29, 705.54 and 305.71

Calculator

Solution

The fourth proportional to 470.29, 705.54 and 305.71 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.29 : 705.54 = 305.71 : x
  2. Step 2: Convert to fraction form
    470.29/705.54 = 305.71/x
  3. Step 3: Cross multiply
    470.29x = 705.54 × 305.71
  4. Step 4: Simplify right side
    470.29x = 215,690.63
  5. Step 5: Solve for x
    x = 215,690.63/470.29
  6. Step 6: Final answer
    x = 458.63

Related Problems

Find fourth proportional to 235.15, 352.77 and 152.86
Half scale
Find fourth proportional to 940.58, 1,411.08 and 611.42
Double scale
Find fourth proportional to 471.29, 707.04 and 306.71
Similar ratio
Find fourth proportional to 705.44, 1,058.31 and 458.57
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.