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Finding the Fourth Proportional to 1,022.76, 1,411.65 and 603.18

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Solution

The fourth proportional to 1,022.76, 1,411.65 and 603.18 is: 832.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.76 : 1,411.65 = 603.18 : x
  2. Step 2: Convert to fraction form
    1,022.76/1,411.65 = 603.18/x
  3. Step 3: Cross multiply
    1,022.76x = 1,411.65 × 603.18
  4. Step 4: Simplify right side
    1,022.76x = 851,479.05
  5. Step 5: Solve for x
    x = 851,479.05/1,022.76
  6. Step 6: Final answer
    x = 832.53

Related Problems

Find fourth proportional to 511.38, 705.83 and 301.59
Half scale
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Double scale
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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.