Home / 1,157.29-1,734.93-507.52

Finding the Fourth Proportional to 1,157.29, 1,734.93 and 507.52

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Solution

The fourth proportional to 1,157.29, 1,734.93 and 507.52 is: 760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.29 : 1,734.93 = 507.52 : x
  2. Step 2: Convert to fraction form
    1,157.29/1,734.93 = 507.52/x
  3. Step 3: Cross multiply
    1,157.29x = 1,734.93 × 507.52
  4. Step 4: Simplify right side
    1,157.29x = 880,511.67
  5. Step 5: Solve for x
    x = 880,511.67/1,157.29
  6. Step 6: Final answer
    x = 760.84

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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.