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Finding the Fourth Proportional to 1,061.79, 1,465.32 and 619.66

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Solution

The fourth proportional to 1,061.79, 1,465.32 and 619.66 is: 855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.79 : 1,465.32 = 619.66 : x
  2. Step 2: Convert to fraction form
    1,061.79/1,465.32 = 619.66/x
  3. Step 3: Cross multiply
    1,061.79x = 1,465.32 × 619.66
  4. Step 4: Simplify right side
    1,061.79x = 908,000.19
  5. Step 5: Solve for x
    x = 908,000.19/1,061.79
  6. Step 6: Final answer
    x = 855.16

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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.