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Finding the Fourth Proportional to 410.40, 612.98 and 352.79

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Solution

The fourth proportional to 410.40, 612.98 and 352.79 is: 526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 612.98 = 352.79 : x
  2. Step 2: Convert to fraction form
    410.40/612.98 = 352.79/x
  3. Step 3: Cross multiply
    410.40x = 612.98 × 352.79
  4. Step 4: Simplify right side
    410.40x = 216,253.99
  5. Step 5: Solve for x
    x = 216,253.99/410.40
  6. Step 6: Final answer
    x = 526.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.