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Finding the Fourth Proportional to 545.76, 752.90 and 312.75

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Solution

The fourth proportional to 545.76, 752.90 and 312.75 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.76 : 752.90 = 312.75 : x
  2. Step 2: Convert to fraction form
    545.76/752.90 = 312.75/x
  3. Step 3: Cross multiply
    545.76x = 752.90 × 312.75
  4. Step 4: Simplify right side
    545.76x = 235,467.91
  5. Step 5: Solve for x
    x = 235,467.91/545.76
  6. Step 6: Final answer
    x = 431.45

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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.