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Finding the Fourth Proportional to 700.52, 1,055.53 and 581.45

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Solution

The fourth proportional to 700.52, 1,055.53 and 581.45 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.52 : 1,055.53 = 581.45 : x
  2. Step 2: Convert to fraction form
    700.52/1,055.53 = 581.45/x
  3. Step 3: Cross multiply
    700.52x = 1,055.53 × 581.45
  4. Step 4: Simplify right side
    700.52x = 613,739.10
  5. Step 5: Solve for x
    x = 613,739.10/700.52
  6. Step 6: Final answer
    x = 876.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.