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Finding the Fourth Proportional to 945.90, 1,305.35 and 526.30

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Solution

The fourth proportional to 945.90, 1,305.35 and 526.30 is: 726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,305.35 = 526.30 : x
  2. Step 2: Convert to fraction form
    945.90/1,305.35 = 526.30/x
  3. Step 3: Cross multiply
    945.90x = 1,305.35 × 526.30
  4. Step 4: Simplify right side
    945.90x = 687,005.71
  5. Step 5: Solve for x
    x = 687,005.71/945.90
  6. Step 6: Final answer
    x = 726.30

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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.