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Finding the Fourth Proportional to 1,030.66, 1,546.15 and 346.50

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Solution

The fourth proportional to 1,030.66, 1,546.15 and 346.50 is: 519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.66 : 1,546.15 = 346.50 : x
  2. Step 2: Convert to fraction form
    1,030.66/1,546.15 = 346.50/x
  3. Step 3: Cross multiply
    1,030.66x = 1,546.15 × 346.50
  4. Step 4: Simplify right side
    1,030.66x = 535,740.98
  5. Step 5: Solve for x
    x = 535,740.98/1,030.66
  6. Step 6: Final answer
    x = 519.80

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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.