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Finding the Fourth Proportional to 758.77, 1,045.85 and 509.96

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Solution

The fourth proportional to 758.77, 1,045.85 and 509.96 is: 702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.77 : 1,045.85 = 509.96 : x
  2. Step 2: Convert to fraction form
    758.77/1,045.85 = 509.96/x
  3. Step 3: Cross multiply
    758.77x = 1,045.85 × 509.96
  4. Step 4: Simplify right side
    758.77x = 533,341.73
  5. Step 5: Solve for x
    x = 533,341.73/758.77
  6. Step 6: Final answer
    x = 702.91

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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.