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Finding the Fourth Proportional to 1,087.79, 1,501.16 and 590.43

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Solution

The fourth proportional to 1,087.79, 1,501.16 and 590.43 is: 814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.79 : 1,501.16 = 590.43 : x
  2. Step 2: Convert to fraction form
    1,087.79/1,501.16 = 590.43/x
  3. Step 3: Cross multiply
    1,087.79x = 1,501.16 × 590.43
  4. Step 4: Simplify right side
    1,087.79x = 886,332.25
  5. Step 5: Solve for x
    x = 886,332.25/1,087.79
  6. Step 6: Final answer
    x = 814.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.