Home / 1,154.63-1,733.48-538.76

Finding the Fourth Proportional to 1,154.63, 1,733.48 and 538.76

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Solution

The fourth proportional to 1,154.63, 1,733.48 and 538.76 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.63 : 1,733.48 = 538.76 : x
  2. Step 2: Convert to fraction form
    1,154.63/1,733.48 = 538.76/x
  3. Step 3: Cross multiply
    1,154.63x = 1,733.48 × 538.76
  4. Step 4: Simplify right side
    1,154.63x = 933,931.32
  5. Step 5: Solve for x
    x = 933,931.32/1,154.63
  6. Step 6: Final answer
    x = 808.86

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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.