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Finding the Fourth Proportional to 702.77, 1,054.15 and 414

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Solution

The fourth proportional to 702.77, 1,054.15 and 414 is: 621

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.77 : 1,054.15 = 414 : x
  2. Step 2: Convert to fraction form
    702.77/1,054.15 = 414/x
  3. Step 3: Cross multiply
    702.77x = 1,054.15 × 414
  4. Step 4: Simplify right side
    702.77x = 436,417.07
  5. Step 5: Solve for x
    x = 436,417.07/702.77
  6. Step 6: Final answer
    x = 621

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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.