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Finding the Fourth Proportional to 659.51, 988.34 and 572.63

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Solution

The fourth proportional to 659.51, 988.34 and 572.63 is: 858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.51 : 988.34 = 572.63 : x
  2. Step 2: Convert to fraction form
    659.51/988.34 = 572.63/x
  3. Step 3: Cross multiply
    659.51x = 988.34 × 572.63
  4. Step 4: Simplify right side
    659.51x = 565,953.13
  5. Step 5: Solve for x
    x = 565,953.13/659.51
  6. Step 6: Final answer
    x = 858.15

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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.