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Finding the Fourth Proportional to 708.57, 978.35 and 630

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Solution

The fourth proportional to 708.57, 978.35 and 630 is: 869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.57 : 978.35 = 630 : x
  2. Step 2: Convert to fraction form
    708.57/978.35 = 630/x
  3. Step 3: Cross multiply
    708.57x = 978.35 × 630
  4. Step 4: Simplify right side
    708.57x = 616,357.35
  5. Step 5: Solve for x
    x = 616,357.35/708.57
  6. Step 6: Final answer
    x = 869.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.