Home / 923.25-1,274.09-509.25

Finding the Fourth Proportional to 923.25, 1,274.09 and 509.25

Calculator

Solution

The fourth proportional to 923.25, 1,274.09 and 509.25 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.25 : 1,274.09 = 509.25 : x
  2. Step 2: Convert to fraction form
    923.25/1,274.09 = 509.25/x
  3. Step 3: Cross multiply
    923.25x = 1,274.09 × 509.25
  4. Step 4: Simplify right side
    923.25x = 648,827.79
  5. Step 5: Solve for x
    x = 648,827.79/923.25
  6. Step 6: Final answer
    x = 702.77

Related Problems

Find fourth proportional to 461.63, 637.04 and 254.63
Half scale
Find fourth proportional to 1,846.50, 2,548.17 and 1,018.50
Double scale
Find fourth proportional to 924.25, 1,275.47 and 510.25
Similar ratio
Find fourth proportional to 1,384.88, 1,911.13 and 763.88
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.