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Finding the Fourth Proportional to 841.30, 1,160.53 and 526.46

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Solution

The fourth proportional to 841.30, 1,160.53 and 526.46 is: 726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.30 : 1,160.53 = 526.46 : x
  2. Step 2: Convert to fraction form
    841.30/1,160.53 = 526.46/x
  3. Step 3: Cross multiply
    841.30x = 1,160.53 × 526.46
  4. Step 4: Simplify right side
    841.30x = 610,965.51
  5. Step 5: Solve for x
    x = 610,965.51/841.30
  6. Step 6: Final answer
    x = 726.22

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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.