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Finding the Fourth Proportional to 705.16, 972.58 and 509.32

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Solution

The fourth proportional to 705.16, 972.58 and 509.32 is: 702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.16 : 972.58 = 509.32 : x
  2. Step 2: Convert to fraction form
    705.16/972.58 = 509.32/x
  3. Step 3: Cross multiply
    705.16x = 972.58 × 509.32
  4. Step 4: Simplify right side
    705.16x = 495,354.45
  5. Step 5: Solve for x
    x = 495,354.45/705.16
  6. Step 6: Final answer
    x = 702.47

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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.