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Finding the Fourth Proportional to 830.77, 1,146.50 and 499.35

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Solution

The fourth proportional to 830.77, 1,146.50 and 499.35 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.77 : 1,146.50 = 499.35 : x
  2. Step 2: Convert to fraction form
    830.77/1,146.50 = 499.35/x
  3. Step 3: Cross multiply
    830.77x = 1,146.50 × 499.35
  4. Step 4: Simplify right side
    830.77x = 572,504.78
  5. Step 5: Solve for x
    x = 572,504.78/830.77
  6. Step 6: Final answer
    x = 689.13

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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.