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Finding the Fourth Proportional to 660.78, 988.85 and 530.46

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Solution

The fourth proportional to 660.78, 988.85 and 530.46 is: 793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 988.85 = 530.46 : x
  2. Step 2: Convert to fraction form
    660.78/988.85 = 530.46/x
  3. Step 3: Cross multiply
    660.78x = 988.85 × 530.46
  4. Step 4: Simplify right side
    660.78x = 524,542.72
  5. Step 5: Solve for x
    x = 524,542.72/660.78
  6. Step 6: Final answer
    x = 793.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.