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Finding the Fourth Proportional to 830.34, 1,145.16 and 498.69

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Solution

The fourth proportional to 830.34, 1,145.16 and 498.69 is: 687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.34 : 1,145.16 = 498.69 : x
  2. Step 2: Convert to fraction form
    830.34/1,145.16 = 498.69/x
  3. Step 3: Cross multiply
    830.34x = 1,145.16 × 498.69
  4. Step 4: Simplify right side
    830.34x = 571,079.84
  5. Step 5: Solve for x
    x = 571,079.84/830.34
  6. Step 6: Final answer
    x = 687.77

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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.