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Finding the Fourth Proportional to 651.60, 973.77 and 526.80

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Solution

The fourth proportional to 651.60, 973.77 and 526.80 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.60 : 973.77 = 526.80 : x
  2. Step 2: Convert to fraction form
    651.60/973.77 = 526.80/x
  3. Step 3: Cross multiply
    651.60x = 973.77 × 526.80
  4. Step 4: Simplify right side
    651.60x = 512,982.04
  5. Step 5: Solve for x
    x = 512,982.04/651.60
  6. Step 6: Final answer
    x = 787.27

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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.