Home / 1,165.16-1,746.43-507.58

Finding the Fourth Proportional to 1,165.16, 1,746.43 and 507.58

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Solution

The fourth proportional to 1,165.16, 1,746.43 and 507.58 is: 760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.16 : 1,746.43 = 507.58 : x
  2. Step 2: Convert to fraction form
    1,165.16/1,746.43 = 507.58/x
  3. Step 3: Cross multiply
    1,165.16x = 1,746.43 × 507.58
  4. Step 4: Simplify right side
    1,165.16x = 886,447.30
  5. Step 5: Solve for x
    x = 886,447.30/1,165.16
  6. Step 6: Final answer
    x = 760.80

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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.