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Finding the Fourth Proportional to 914.50, 1,262.10 and 565.30

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Solution

The fourth proportional to 914.50, 1,262.10 and 565.30 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.50 : 1,262.10 = 565.30 : x
  2. Step 2: Convert to fraction form
    914.50/1,262.10 = 565.30/x
  3. Step 3: Cross multiply
    914.50x = 1,262.10 × 565.30
  4. Step 4: Simplify right side
    914.50x = 713,465.13
  5. Step 5: Solve for x
    x = 713,465.13/914.50
  6. Step 6: Final answer
    x = 780.17

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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.