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Finding the Fourth Proportional to 1,030.86, 1,547.03 and 414.74

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Solution

The fourth proportional to 1,030.86, 1,547.03 and 414.74 is: 622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.86 : 1,547.03 = 414.74 : x
  2. Step 2: Convert to fraction form
    1,030.86/1,547.03 = 414.74/x
  3. Step 3: Cross multiply
    1,030.86x = 1,547.03 × 414.74
  4. Step 4: Simplify right side
    1,030.86x = 641,605.41
  5. Step 5: Solve for x
    x = 641,605.41/1,030.86
  6. Step 6: Final answer
    x = 622.40

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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.