Home / 688-1,032.72-346

Finding the Fourth Proportional to 688, 1,032.72 and 346

Calculator

Solution

The fourth proportional to 688, 1,032.72 and 346 is: 519.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 1,032.72 = 346 : x
  2. Step 2: Convert to fraction form
    688/1,032.72 = 346/x
  3. Step 3: Cross multiply
    688x = 1,032.72 × 346
  4. Step 4: Simplify right side
    688x = 357,321.12
  5. Step 5: Solve for x
    x = 357,321.12/688
  6. Step 6: Final answer
    x = 519.36

Related Problems

Find fourth proportional to 344, 516.36 and 173
Half scale
Find fourth proportional to 1,376, 2,065.44 and 692
Double scale
Find fourth proportional to 689, 1,034.22 and 347
Similar ratio
Find fourth proportional to 1,032, 1,549.08 and 519
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.