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Finding the Fourth Proportional to 651.54, 971.88 and 589.98

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Solution

The fourth proportional to 651.54, 971.88 and 589.98 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.54 : 971.88 = 589.98 : x
  2. Step 2: Convert to fraction form
    651.54/971.88 = 589.98/x
  3. Step 3: Cross multiply
    651.54x = 971.88 × 589.98
  4. Step 4: Simplify right side
    651.54x = 573,389.76
  5. Step 5: Solve for x
    x = 573,389.76/651.54
  6. Step 6: Final answer
    x = 880.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.