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Finding the Fourth Proportional to 710.56, 1,061.24 and 602.56

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Solution

The fourth proportional to 710.56, 1,061.24 and 602.56 is: 899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.56 : 1,061.24 = 602.56 : x
  2. Step 2: Convert to fraction form
    710.56/1,061.24 = 602.56/x
  3. Step 3: Cross multiply
    710.56x = 1,061.24 × 602.56
  4. Step 4: Simplify right side
    710.56x = 639,460.77
  5. Step 5: Solve for x
    x = 639,460.77/710.56
  6. Step 6: Final answer
    x = 899.94

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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.