Home / 473.01-712.01-431.49

Finding the Fourth Proportional to 473.01, 712.01 and 431.49

Calculator

Solution

The fourth proportional to 473.01, 712.01 and 431.49 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.01 : 712.01 = 431.49 : x
  2. Step 2: Convert to fraction form
    473.01/712.01 = 431.49/x
  3. Step 3: Cross multiply
    473.01x = 712.01 × 431.49
  4. Step 4: Simplify right side
    473.01x = 307,223.04
  5. Step 5: Solve for x
    x = 307,223.04/473.01
  6. Step 6: Final answer
    x = 649.51

Related Problems

Find fourth proportional to 236.51, 356.00 and 215.75
Half scale
Find fourth proportional to 946.02, 1,424.01 and 862.98
Double scale
Find fourth proportional to 474.01, 713.51 and 432.49
Similar ratio
Find fourth proportional to 709.52, 1,068.01 and 647.24
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.