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Finding the Fourth Proportional to 705.30, 973.59 and 509.08

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Solution

The fourth proportional to 705.30, 973.59 and 509.08 is: 702.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.30 : 973.59 = 509.08 : x
  2. Step 2: Convert to fraction form
    705.30/973.59 = 509.08/x
  3. Step 3: Cross multiply
    705.30x = 973.59 × 509.08
  4. Step 4: Simplify right side
    705.30x = 495,630.33
  5. Step 5: Solve for x
    x = 495,630.33/705.30
  6. Step 6: Final answer
    x = 702.72

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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.