Home / 582-803.64-509.16

Finding the Fourth Proportional to 582, 803.64 and 509.16

Calculator

Solution

The fourth proportional to 582, 803.64 and 509.16 is: 703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582 : 803.64 = 509.16 : x
  2. Step 2: Convert to fraction form
    582/803.64 = 509.16/x
  3. Step 3: Cross multiply
    582x = 803.64 × 509.16
  4. Step 4: Simplify right side
    582x = 409,181.34
  5. Step 5: Solve for x
    x = 409,181.34/582
  6. Step 6: Final answer
    x = 703.06

Related Problems

Find fourth proportional to 291, 401.82 and 254.58
Half scale
Find fourth proportional to 1,164, 1,607.28 and 1,018.32
Double scale
Find fourth proportional to 583, 805.02 and 510.16
Similar ratio
Find fourth proportional to 873, 1,205.46 and 763.74
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.