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Finding the Fourth Proportional to 1,038.42, 1,557.47 and 345.10

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Solution

The fourth proportional to 1,038.42, 1,557.47 and 345.10 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,557.47 = 345.10 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,557.47 = 345.10/x
  3. Step 3: Cross multiply
    1,038.42x = 1,557.47 × 345.10
  4. Step 4: Simplify right side
    1,038.42x = 537,482.90
  5. Step 5: Solve for x
    x = 537,482.90/1,038.42
  6. Step 6: Final answer
    x = 517.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.