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Finding the Fourth Proportional to 1,065.51, 1,470.50 and 593.40

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Solution

The fourth proportional to 1,065.51, 1,470.50 and 593.40 is: 818.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.51 : 1,470.50 = 593.40 : x
  2. Step 2: Convert to fraction form
    1,065.51/1,470.50 = 593.40/x
  3. Step 3: Cross multiply
    1,065.51x = 1,470.50 × 593.40
  4. Step 4: Simplify right side
    1,065.51x = 872,596.18
  5. Step 5: Solve for x
    x = 872,596.18/1,065.51
  6. Step 6: Final answer
    x = 818.95

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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.