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Finding the Fourth Proportional to 690.99, 954.93 and 566.45

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Solution

The fourth proportional to 690.99, 954.93 and 566.45 is: 782.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.99 : 954.93 = 566.45 : x
  2. Step 2: Convert to fraction form
    690.99/954.93 = 566.45/x
  3. Step 3: Cross multiply
    690.99x = 954.93 × 566.45
  4. Step 4: Simplify right side
    690.99x = 540,920.10
  5. Step 5: Solve for x
    x = 540,920.10/690.99
  6. Step 6: Final answer
    x = 782.82

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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.