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Finding the Fourth Proportional to 706.48, 1,058.47 and 602.71

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Solution

The fourth proportional to 706.48, 1,058.47 and 602.71 is: 903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.48 : 1,058.47 = 602.71 : x
  2. Step 2: Convert to fraction form
    706.48/1,058.47 = 602.71/x
  3. Step 3: Cross multiply
    706.48x = 1,058.47 × 602.71
  4. Step 4: Simplify right side
    706.48x = 637,950.09
  5. Step 5: Solve for x
    x = 637,950.09/706.48
  6. Step 6: Final answer
    x = 903.00

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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.