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Finding the Fourth Proportional to 1,088.23, 1,501.78 and 590.89

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Solution

The fourth proportional to 1,088.23, 1,501.78 and 590.89 is: 815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.23 : 1,501.78 = 590.89 : x
  2. Step 2: Convert to fraction form
    1,088.23/1,501.78 = 590.89/x
  3. Step 3: Cross multiply
    1,088.23x = 1,501.78 × 590.89
  4. Step 4: Simplify right side
    1,088.23x = 887,381.55
  5. Step 5: Solve for x
    x = 887,381.55/1,088.23
  6. Step 6: Final answer
    x = 815.44

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1.5x scale

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.