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Finding the Fourth Proportional to 700.60, 1,045.82 and 649.94

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Solution

The fourth proportional to 700.60, 1,045.82 and 649.94 is: 970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.60 : 1,045.82 = 649.94 : x
  2. Step 2: Convert to fraction form
    700.60/1,045.82 = 649.94/x
  3. Step 3: Cross multiply
    700.60x = 1,045.82 × 649.94
  4. Step 4: Simplify right side
    700.60x = 679,720.25
  5. Step 5: Solve for x
    x = 679,720.25/700.60
  6. Step 6: Final answer
    x = 970.20

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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.